Finding the Third Proportional to 34,632 and 74,562

Step by Step Solution

1. Step 1: Write the proportion equation
   34,632 : 74,562 = 74,562 : x
2. Step 2: Convert to fraction form
   34,632/74,562 = 74,562/x
3. Step 3: Cross multiply
   34,632x = 74,562 × 74,562
4. Step 4: Simplify right side
   34,632x = 5,559,491,844
5. Step 5: Solve for x
   x = 5,559,491,844/34,632
6. Step 6: Final answer
   x = 160,530.49