Finding the Third Proportional to 14,584 and 22,520.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,584 : 22,520.50 = 22,520.50 : x
2. Step 2: Convert to fraction form
   14,584/22,520.50 = 22,520.50/x
3. Step 3: Cross multiply
   14,584x = 22,520.50 × 22,520.50
4. Step 4: Simplify right side
   14,584x = 507,172,920.25
5. Step 5: Solve for x
   x = 507,172,920.25/14,584
6. Step 6: Final answer
   x = 34,775.98