Finding the Third Proportional to 12,557.25 and 17,218.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,557.25 : 17,218.50 = 17,218.50 : x
2. Step 2: Convert to fraction form
   12,557.25/17,218.50 = 17,218.50/x
3. Step 3: Cross multiply
   12,557.25x = 17,218.50 × 17,218.50
4. Step 4: Simplify right side
   12,557.25x = 296,476,742.25
5. Step 5: Solve for x
   x = 296,476,742.25/12,557.25
6. Step 6: Final answer
   x = 23,610.01