Finding the Third Proportional to 4,128,522,912,398 and 5,740,381,108,501

Step by Step Solution

1. Step 1: Write the proportion equation
   4,128,522,912,398 : 5,740,381,108,501 = 5,740,381,108,501 : x
2. Step 2: Convert to fraction form
   4,128,522,912,398/5,740,381,108,501 = 5,740,381,108,501/x
3. Step 3: Cross multiply
   4,128,522,912,398x = 5,740,381,108,501 × 5,740,381,108,501
4. Step 4: Simplify right side
   4,128,522,912,398x = 32,951,975,270,835,171,631,300,608
5. Step 5: Solve for x
   x = 32,951,975,270,835,171,631,300,608/4,128,522,912,398
6. Step 6: Final answer
   x = 7,981,541,091,095.81