Finding the Third Proportional to 37,217.25 and 87,782.63

Step by Step Solution

1. Step 1: Write the proportion equation
   37,217.25 : 87,782.63 = 87,782.63 : x
2. Step 2: Convert to fraction form
   37,217.25/87,782.63 = 87,782.63/x
3. Step 3: Cross multiply
   37,217.25x = 87,782.63 × 87,782.63
4. Step 4: Simplify right side
   37,217.25x = 7,705,789,251.89
5. Step 5: Solve for x
   x = 7,705,789,251.89/37,217.25
6. Step 6: Final answer
   x = 207,048.86