Finding the Third Proportional to 37,676.36 and 81,268.15

Step by Step Solution

1. Step 1: Write the proportion equation
   37,676.36 : 81,268.15 = 81,268.15 : x
2. Step 2: Convert to fraction form
   37,676.36/81,268.15 = 81,268.15/x
3. Step 3: Cross multiply
   37,676.36x = 81,268.15 × 81,268.15
4. Step 4: Simplify right side
   37,676.36x = 6,604,512,902.82
5. Step 5: Solve for x
   x = 6,604,512,902.82/37,676.36
6. Step 6: Final answer
   x = 175,295.96