Finding the Third Proportional to 17,780 and 38,908

Step by Step Solution

1. Step 1: Write the proportion equation
   17,780 : 38,908 = 38,908 : x
2. Step 2: Convert to fraction form
   17,780/38,908 = 38,908/x
3. Step 3: Cross multiply
   17,780x = 38,908 × 38,908
4. Step 4: Simplify right side
   17,780x = 1,513,832,464
5. Step 5: Solve for x
   x = 1,513,832,464/17,780
6. Step 6: Final answer
   x = 85,142.43