Finding the Third Proportional to 29,965.50 and 65,662.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,965.50 : 65,662.50 = 65,662.50 : x
2. Step 2: Convert to fraction form
   29,965.50/65,662.50 = 65,662.50/x
3. Step 3: Cross multiply
   29,965.50x = 65,662.50 × 65,662.50
4. Step 4: Simplify right side
   29,965.50x = 4,311,563,906.25
5. Step 5: Solve for x
   x = 4,311,563,906.25/29,965.50
6. Step 6: Final answer
   x = 143,884.26