Finding the Third Proportional to 37,105.75 and 87,502.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,105.75 : 87,502.25 = 87,502.25 : x
2. Step 2: Convert to fraction form
   37,105.75/87,502.25 = 87,502.25/x
3. Step 3: Cross multiply
   37,105.75x = 87,502.25 × 87,502.25
4. Step 4: Simplify right side
   37,105.75x = 7,656,643,755.06
5. Step 5: Solve for x
   x = 7,656,643,755.06/37,105.75
6. Step 6: Final answer
   x = 206,346.56