Finding the Third Proportional to 14,593.50 and 22,642.88

Step by Step Solution

1. Step 1: Write the proportion equation
   14,593.50 : 22,642.88 = 22,642.88 : x
2. Step 2: Convert to fraction form
   14,593.50/22,642.88 = 22,642.88/x
3. Step 3: Cross multiply
   14,593.50x = 22,642.88 × 22,642.88
4. Step 4: Simplify right side
   14,593.50x = 512,699,788.27
5. Step 5: Solve for x
   x = 512,699,788.27/14,593.50
6. Step 6: Final answer
   x = 35,132.06