Finding the Third Proportional to 29,996.25 and 65,641.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,996.25 : 65,641.50 = 65,641.50 : x
2. Step 2: Convert to fraction form
   29,996.25/65,641.50 = 65,641.50/x
3. Step 3: Cross multiply
   29,996.25x = 65,641.50 × 65,641.50
4. Step 4: Simplify right side
   29,996.25x = 4,308,806,522.25
5. Step 5: Solve for x
   x = 4,308,806,522.25/29,996.25
6. Step 6: Final answer
   x = 143,644.84