Finding the Third Proportional to 17,864 and 38,902

Step by Step Solution

1. Step 1: Write the proportion equation
   17,864 : 38,902 = 38,902 : x
2. Step 2: Convert to fraction form
   17,864/38,902 = 38,902/x
3. Step 3: Cross multiply
   17,864x = 38,902 × 38,902
4. Step 4: Simplify right side
   17,864x = 1,513,365,604
5. Step 5: Solve for x
   x = 1,513,365,604/17,864
6. Step 6: Final answer
   x = 84,715.94