Finding the Third Proportional to 17,670 and 37,902

Step by Step Solution

1. Step 1: Write the proportion equation
   17,670 : 37,902 = 37,902 : x
2. Step 2: Convert to fraction form
   17,670/37,902 = 37,902/x
3. Step 3: Cross multiply
   17,670x = 37,902 × 37,902
4. Step 4: Simplify right side
   17,670x = 1,436,561,604
5. Step 5: Solve for x
   x = 1,436,561,604/17,670
6. Step 6: Final answer
   x = 81,299.47