Finding the Third Proportional to 29,632 and 65,272

Step by Step Solution

1. Step 1: Write the proportion equation
   29,632 : 65,272 = 65,272 : x
2. Step 2: Convert to fraction form
   29,632/65,272 = 65,272/x
3. Step 3: Cross multiply
   29,632x = 65,272 × 65,272
4. Step 4: Simplify right side
   29,632x = 4,260,433,984
5. Step 5: Solve for x
   x = 4,260,433,984/29,632
6. Step 6: Final answer
   x = 143,778.14