Finding the Third Proportional to 49,059 and 75,501

Step by Step Solution

1. Step 1: Write the proportion equation
   49,059 : 75,501 = 75,501 : x
2. Step 2: Convert to fraction form
   49,059/75,501 = 75,501/x
3. Step 3: Cross multiply
   49,059x = 75,501 × 75,501
4. Step 4: Simplify right side
   49,059x = 5,700,401,001
5. Step 5: Solve for x
   x = 5,700,401,001/49,059
6. Step 6: Final answer
   x = 116,194.81