Finding the Third Proportional to 12,500 and 13,460

Step by Step Solution

1. Step 1: Write the proportion equation
   12,500 : 13,460 = 13,460 : x
2. Step 2: Convert to fraction form
   12,500/13,460 = 13,460/x
3. Step 3: Cross multiply
   12,500x = 13,460 × 13,460
4. Step 4: Simplify right side
   12,500x = 181,171,600
5. Step 5: Solve for x
   x = 181,171,600/12,500
6. Step 6: Final answer
   x = 14,493.73