Finding the Third Proportional to 29,992.50 and 65,634.75

Step by Step Solution

1. Step 1: Write the proportion equation
   29,992.50 : 65,634.75 = 65,634.75 : x
2. Step 2: Convert to fraction form
   29,992.50/65,634.75 = 65,634.75/x
3. Step 3: Cross multiply
   29,992.50x = 65,634.75 × 65,634.75
4. Step 4: Simplify right side
   29,992.50x = 4,307,920,407.56
5. Step 5: Solve for x
   x = 4,307,920,407.56/29,992.50
6. Step 6: Final answer
   x = 143,633.26