Finding the Third Proportional to 10,138.88 and 13,562.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,138.88 : 13,562.25 = 13,562.25 : x
2. Step 2: Convert to fraction form
   10,138.88/13,562.25 = 13,562.25/x
3. Step 3: Cross multiply
   10,138.88x = 13,562.25 × 13,562.25
4. Step 4: Simplify right side
   10,138.88x = 183,934,625.06
5. Step 5: Solve for x
   x = 183,934,625.06/10,138.88
6. Step 6: Final answer
   x = 18,141.52