Finding the Third Proportional to 12,375 and 26,665

Step by Step Solution

1. Step 1: Write the proportion equation
   12,375 : 26,665 = 26,665 : x
2. Step 2: Convert to fraction form
   12,375/26,665 = 26,665/x
3. Step 3: Cross multiply
   12,375x = 26,665 × 26,665
4. Step 4: Simplify right side
   12,375x = 711,022,225
5. Step 5: Solve for x
   x = 711,022,225/12,375
6. Step 6: Final answer
   x = 57,456.34