Finding the Third Proportional to 27,632 and 42,402

Step by Step Solution

1. Step 1: Write the proportion equation
   27,632 : 42,402 = 42,402 : x
2. Step 2: Convert to fraction form
   27,632/42,402 = 42,402/x
3. Step 3: Cross multiply
   27,632x = 42,402 × 42,402
4. Step 4: Simplify right side
   27,632x = 1,797,929,604
5. Step 5: Solve for x
   x = 1,797,929,604/27,632
6. Step 6: Final answer
   x = 65,066.94