Finding the Third Proportional to 29,824.50 and 65,008.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,824.50 : 65,008.50 = 65,008.50 : x
2. Step 2: Convert to fraction form
   29,824.50/65,008.50 = 65,008.50/x
3. Step 3: Cross multiply
   29,824.50x = 65,008.50 × 65,008.50
4. Step 4: Simplify right side
   29,824.50x = 4,226,105,072.25
5. Step 5: Solve for x
   x = 4,226,105,072.25/29,824.50
6. Step 6: Final answer
   x = 141,699.11