Finding the Third Proportional to 17,780 and 38,484

Step by Step Solution

1. Step 1: Write the proportion equation
   17,780 : 38,484 = 38,484 : x
2. Step 2: Convert to fraction form
   17,780/38,484 = 38,484/x
3. Step 3: Cross multiply
   17,780x = 38,484 × 38,484
4. Step 4: Simplify right side
   17,780x = 1,481,018,256
5. Step 5: Solve for x
   x = 1,481,018,256/17,780
6. Step 6: Final answer
   x = 83,296.86