Finding the Third Proportional to 17,785.13 and 37,760.63

Step by Step Solution

1. Step 1: Write the proportion equation
   17,785.13 : 37,760.63 = 37,760.63 : x
2. Step 2: Convert to fraction form
   17,785.13/37,760.63 = 37,760.63/x
3. Step 3: Cross multiply
   17,785.13x = 37,760.63 × 37,760.63
4. Step 4: Simplify right side
   17,785.13x = 1,425,864,800.39
5. Step 5: Solve for x
   x = 1,425,864,800.39/17,785.13
6. Step 6: Final answer
   x = 80,171.76