Finding the Third Proportional to 10,590.75 and 22,588.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,590.75 : 22,588.50 = 22,588.50 : x
2. Step 2: Convert to fraction form
   10,590.75/22,588.50 = 22,588.50/x
3. Step 3: Cross multiply
   10,590.75x = 22,588.50 × 22,588.50
4. Step 4: Simplify right side
   10,590.75x = 510,240,332.25
5. Step 5: Solve for x
   x = 510,240,332.25/10,590.75
6. Step 6: Final answer
   x = 48,177.92