Finding the Third Proportional to 14,566.50 and 19,558.13

Step by Step Solution

1. Step 1: Write the proportion equation
   14,566.50 : 19,558.13 = 19,558.13 : x
2. Step 2: Convert to fraction form
   14,566.50/19,558.13 = 19,558.13/x
3. Step 3: Cross multiply
   14,566.50x = 19,558.13 × 19,558.13
4. Step 4: Simplify right side
   14,566.50x = 382,520,253.52
5. Step 5: Solve for x
   x = 382,520,253.52/14,566.50
6. Step 6: Final answer
   x = 26,260.27