Finding the Third Proportional to 17,659 and 26,076

Step by Step Solution

1. Step 1: Write the proportion equation
   17,659 : 26,076 = 26,076 : x
2. Step 2: Convert to fraction form
   17,659/26,076 = 26,076/x
3. Step 3: Cross multiply
   17,659x = 26,076 × 26,076
4. Step 4: Simplify right side
   17,659x = 679,957,776
5. Step 5: Solve for x
   x = 679,957,776/17,659
6. Step 6: Final answer
   x = 38,504.89