Finding the Third Proportional to 37,594.50 and 87,415.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,594.50 : 87,415.50 = 87,415.50 : x
2. Step 2: Convert to fraction form
   37,594.50/87,415.50 = 87,415.50/x
3. Step 3: Cross multiply
   37,594.50x = 87,415.50 × 87,415.50
4. Step 4: Simplify right side
   37,594.50x = 7,641,469,640.25
5. Step 5: Solve for x
   x = 7,641,469,640.25/37,594.50
6. Step 6: Final answer
   x = 203,260.31