Finding the Third Proportional to 17,500 and 26,002

Step by Step Solution

1. Step 1: Write the proportion equation
   17,500 : 26,002 = 26,002 : x
2. Step 2: Convert to fraction form
   17,500/26,002 = 26,002/x
3. Step 3: Cross multiply
   17,500x = 26,002 × 26,002
4. Step 4: Simplify right side
   17,500x = 676,104,004
5. Step 5: Solve for x
   x = 676,104,004/17,500
6. Step 6: Final answer
   x = 38,634.51