Finding the Third Proportional to 17,770 and 38,132

Step by Step Solution

1. Step 1: Write the proportion equation
   17,770 : 38,132 = 38,132 : x
2. Step 2: Convert to fraction form
   17,770/38,132 = 38,132/x
3. Step 3: Cross multiply
   17,770x = 38,132 × 38,132
4. Step 4: Simplify right side
   17,770x = 1,454,049,424
5. Step 5: Solve for x
   x = 1,454,049,424/17,770
6. Step 6: Final answer
   x = 81,826.08