Finding the Third Proportional to 29,656 and 65,144

Step by Step Solution

1. Step 1: Write the proportion equation
   29,656 : 65,144 = 65,144 : x
2. Step 2: Convert to fraction form
   29,656/65,144 = 65,144/x
3. Step 3: Cross multiply
   29,656x = 65,144 × 65,144
4. Step 4: Simplify right side
   29,656x = 4,243,740,736
5. Step 5: Solve for x
   x = 4,243,740,736/29,656
6. Step 6: Final answer
   x = 143,098.89