Finding the Third Proportional to 12,400 and 17,772

Step by Step Solution

1. Step 1: Write the proportion equation
   12,400 : 17,772 = 17,772 : x
2. Step 2: Convert to fraction form
   12,400/17,772 = 17,772/x
3. Step 3: Cross multiply
   12,400x = 17,772 × 17,772
4. Step 4: Simplify right side
   12,400x = 315,843,984
5. Step 5: Solve for x
   x = 315,843,984/12,400
6. Step 6: Final answer
   x = 25,471.29