Finding the Third Proportional to 26,221.50 and 39,588.75

Step by Step Solution

1. Step 1: Write the proportion equation
   26,221.50 : 39,588.75 = 39,588.75 : x
2. Step 2: Convert to fraction form
   26,221.50/39,588.75 = 39,588.75/x
3. Step 3: Cross multiply
   26,221.50x = 39,588.75 × 39,588.75
4. Step 4: Simplify right side
   26,221.50x = 1,567,269,126.56
5. Step 5: Solve for x
   x = 1,567,269,126.56/26,221.50
6. Step 6: Final answer
   x = 59,770.38