Finding the Third Proportional to 71,632 and 102,582

Step by Step Solution

1. Step 1: Write the proportion equation
   71,632 : 102,582 = 102,582 : x
2. Step 2: Convert to fraction form
   71,632/102,582 = 102,582/x
3. Step 3: Cross multiply
   71,632x = 102,582 × 102,582
4. Step 4: Simplify right side
   71,632x = 10,523,066,724
5. Step 5: Solve for x
   x = 10,523,066,724/71,632
6. Step 6: Final answer
   x = 146,904.55