Finding the Third Proportional to 37,641.38 and 81,843.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,641.38 : 81,843.75 = 81,843.75 : x
2. Step 2: Convert to fraction form
   37,641.38/81,843.75 = 81,843.75/x
3. Step 3: Cross multiply
   37,641.38x = 81,843.75 × 81,843.75
4. Step 4: Simplify right side
   37,641.38x = 6,698,399,414.06
5. Step 5: Solve for x
   x = 6,698,399,414.06/37,641.38
6. Step 6: Final answer
   x = 177,953.10