Finding the Third Proportional to 37,791.75 and 82,490.63

Step by Step Solution

1. Step 1: Write the proportion equation
   37,791.75 : 82,490.63 = 82,490.63 : x
2. Step 2: Convert to fraction form
   37,791.75/82,490.63 = 82,490.63/x
3. Step 3: Cross multiply
   37,791.75x = 82,490.63 × 82,490.63
4. Step 4: Simplify right side
   37,791.75x = 6,804,703,212.89
5. Step 5: Solve for x
   x = 6,804,703,212.89/37,791.75
6. Step 6: Final answer
   x = 180,057.90