Finding the Third Proportional to 9,588 and 20,632.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,588 : 20,632.50 = 20,632.50 : x
2. Step 2: Convert to fraction form
   9,588/20,632.50 = 20,632.50/x
3. Step 3: Cross multiply
   9,588x = 20,632.50 × 20,632.50
4. Step 4: Simplify right side
   9,588x = 425,700,056.25
5. Step 5: Solve for x
   x = 425,700,056.25/9,588
6. Step 6: Final answer
   x = 44,399.25