Finding the Third Proportional to 37,785.47 and 82,478.63

Step by Step Solution

1. Step 1: Write the proportion equation
   37,785.47 : 82,478.63 = 82,478.63 : x
2. Step 2: Convert to fraction form
   37,785.47/82,478.63 = 82,478.63/x
3. Step 3: Cross multiply
   37,785.47x = 82,478.63 × 82,478.63
4. Step 4: Simplify right side
   37,785.47x = 6,802,723,581.89
5. Step 5: Solve for x
   x = 6,802,723,581.89/37,785.47
6. Step 6: Final answer
   x = 180,035.44