Finding the Third Proportional to 2,237.50 and 5,265.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,237.50 : 5,265.50 = 5,265.50 : x
2. Step 2: Convert to fraction form
   2,237.50/5,265.50 = 5,265.50/x
3. Step 3: Cross multiply
   2,237.50x = 5,265.50 × 5,265.50
4. Step 4: Simplify right side
   2,237.50x = 27,725,490.25
5. Step 5: Solve for x
   x = 27,725,490.25/2,237.50
6. Step 6: Final answer
   x = 12,391.28