Finding the Third Proportional to 17,806.50 and 38,377.13

Step by Step Solution

1. Step 1: Write the proportion equation
   17,806.50 : 38,377.13 = 38,377.13 : x
2. Step 2: Convert to fraction form
   17,806.50/38,377.13 = 38,377.13/x
3. Step 3: Cross multiply
   17,806.50x = 38,377.13 × 38,377.13
4. Step 4: Simplify right side
   17,806.50x = 1,472,803,723.27
5. Step 5: Solve for x
   x = 1,472,803,723.27/17,806.50
6. Step 6: Final answer
   x = 82,711.58