Finding the Third Proportional to 37,656.38 and 81,149.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,656.38 : 81,149.25 = 81,149.25 : x
2. Step 2: Convert to fraction form
   37,656.38/81,149.25 = 81,149.25/x
3. Step 3: Cross multiply
   37,656.38x = 81,149.25 × 81,149.25
4. Step 4: Simplify right side
   37,656.38x = 6,585,200,775.56
5. Step 5: Solve for x
   x = 6,585,200,775.56/37,656.38
6. Step 6: Final answer
   x = 174,876.12