Finding the Third Proportional to 11,520.14 and 17,385.89

Step by Step Solution

1. Step 1: Write the proportion equation
   11,520.14 : 17,385.89 = 17,385.89 : x
2. Step 2: Convert to fraction form
   11,520.14/17,385.89 = 17,385.89/x
3. Step 3: Cross multiply
   11,520.14x = 17,385.89 × 17,385.89
4. Step 4: Simplify right side
   11,520.14x = 302,269,192.82
5. Step 5: Solve for x
   x = 302,269,192.82/11,520.14
6. Step 6: Final answer
   x = 26,238.32