Finding the Third Proportional to 35,970 and 76,032

Step by Step Solution

1. Step 1: Write the proportion equation
   35,970 : 76,032 = 76,032 : x
2. Step 2: Convert to fraction form
   35,970/76,032 = 76,032/x
3. Step 3: Cross multiply
   35,970x = 76,032 × 76,032
4. Step 4: Simplify right side
   35,970x = 5,780,865,024
5. Step 5: Solve for x
   x = 5,780,865,024/35,970
6. Step 6: Final answer
   x = 160,713.51