Finding the Third Proportional to 29,962.50 and 65,154.75

Step by Step Solution

1. Step 1: Write the proportion equation
   29,962.50 : 65,154.75 = 65,154.75 : x
2. Step 2: Convert to fraction form
   29,962.50/65,154.75 = 65,154.75/x
3. Step 3: Cross multiply
   29,962.50x = 65,154.75 × 65,154.75
4. Step 4: Simplify right side
   29,962.50x = 4,245,141,447.56
5. Step 5: Solve for x
   x = 4,245,141,447.56/29,962.50
6. Step 6: Final answer
   x = 141,681.82