Finding the Third Proportional to 11,766 and 25,237.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,766 : 25,237.50 = 25,237.50 : x
2. Step 2: Convert to fraction form
   11,766/25,237.50 = 25,237.50/x
3. Step 3: Cross multiply
   11,766x = 25,237.50 × 25,237.50
4. Step 4: Simplify right side
   11,766x = 636,931,406.25
5. Step 5: Solve for x
   x = 636,931,406.25/11,766
6. Step 6: Final answer
   x = 54,133.21