Finding the Third Proportional to 37,092.38 and 82,477.13

Step by Step Solution

1. Step 1: Write the proportion equation
   37,092.38 : 82,477.13 = 82,477.13 : x
2. Step 2: Convert to fraction form
   37,092.38/82,477.13 = 82,477.13/x
3. Step 3: Cross multiply
   37,092.38x = 82,477.13 × 82,477.13
4. Step 4: Simplify right side
   37,092.38x = 6,802,476,148.27
5. Step 5: Solve for x
   x = 6,802,476,148.27/37,092.38
6. Step 6: Final answer
   x = 183,392.84