Finding the Third Proportional to 17,806.50 and 38,397.38

Step by Step Solution

1. Step 1: Write the proportion equation
   17,806.50 : 38,397.38 = 38,397.38 : x
2. Step 2: Convert to fraction form
   17,806.50/38,397.38 = 38,397.38/x
3. Step 3: Cross multiply
   17,806.50x = 38,397.38 × 38,397.38
4. Step 4: Simplify right side
   17,806.50x = 1,474,358,406.89
5. Step 5: Solve for x
   x = 1,474,358,406.89/17,806.50
6. Step 6: Final answer
   x = 82,798.89