Finding the Third Proportional to 5,902 and 12,488

Step by Step Solution

1. Step 1: Write the proportion equation
   5,902 : 12,488 = 12,488 : x
2. Step 2: Convert to fraction form
   5,902/12,488 = 12,488/x
3. Step 3: Cross multiply
   5,902x = 12,488 × 12,488
4. Step 4: Simplify right side
   5,902x = 155,950,144
5. Step 5: Solve for x
   x = 155,950,144/5,902
6. Step 6: Final answer
   x = 26,423.27