Finding the Third Proportional to 41,516.25 and 89,596.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,516.25 : 89,596.50 = 89,596.50 : x
2. Step 2: Convert to fraction form
   41,516.25/89,596.50 = 89,596.50/x
3. Step 3: Cross multiply
   41,516.25x = 89,596.50 × 89,596.50
4. Step 4: Simplify right side
   41,516.25x = 8,027,532,812.25
5. Step 5: Solve for x
   x = 8,027,532,812.25/41,516.25
6. Step 6: Final answer
   x = 193,358.81