Finding the Third Proportional to 37,570.50 and 81,708.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,570.50 : 81,708.75 = 81,708.75 : x
2. Step 2: Convert to fraction form
   37,570.50/81,708.75 = 81,708.75/x
3. Step 3: Cross multiply
   37,570.50x = 81,708.75 × 81,708.75
4. Step 4: Simplify right side
   37,570.50x = 6,676,319,826.56
5. Step 5: Solve for x
   x = 6,676,319,826.56/37,570.50
6. Step 6: Final answer
   x = 177,701.12