Finding the Third Proportional to 12,500 and 17,580.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,500 : 17,580.50 = 17,580.50 : x
2. Step 2: Convert to fraction form
   12,500/17,580.50 = 17,580.50/x
3. Step 3: Cross multiply
   12,500x = 17,580.50 × 17,580.50
4. Step 4: Simplify right side
   12,500x = 309,073,980.25
5. Step 5: Solve for x
   x = 309,073,980.25/12,500
6. Step 6: Final answer
   x = 24,725.92