Finding the Third Proportional to 14,566.50 and 27,097.88

Step by Step Solution

1. Step 1: Write the proportion equation
   14,566.50 : 27,097.88 = 27,097.88 : x
2. Step 2: Convert to fraction form
   14,566.50/27,097.88 = 27,097.88/x
3. Step 3: Cross multiply
   14,566.50x = 27,097.88 × 27,097.88
4. Step 4: Simplify right side
   14,566.50x = 734,294,829.52
5. Step 5: Solve for x
   x = 734,294,829.52/14,566.50
6. Step 6: Final answer
   x = 50,409.83