Finding the Third Proportional to 17,899 and 38,102

Step by Step Solution

1. Step 1: Write the proportion equation
   17,899 : 38,102 = 38,102 : x
2. Step 2: Convert to fraction form
   17,899/38,102 = 38,102/x
3. Step 3: Cross multiply
   17,899x = 38,102 × 38,102
4. Step 4: Simplify right side
   17,899x = 1,451,762,404
5. Step 5: Solve for x
   x = 1,451,762,404/17,899
6. Step 6: Final answer
   x = 81,108.58