Finding the Third Proportional to 10,588 and 22,545.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,588 : 22,545.50 = 22,545.50 : x
2. Step 2: Convert to fraction form
   10,588/22,545.50 = 22,545.50/x
3. Step 3: Cross multiply
   10,588x = 22,545.50 × 22,545.50
4. Step 4: Simplify right side
   10,588x = 508,299,570.25
5. Step 5: Solve for x
   x = 508,299,570.25/10,588
6. Step 6: Final answer
   x = 48,007.14