Finding the Third Proportional to 41,649.75 and 90,688.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,649.75 : 90,688.50 = 90,688.50 : x
2. Step 2: Convert to fraction form
   41,649.75/90,688.50 = 90,688.50/x
3. Step 3: Cross multiply
   41,649.75x = 90,688.50 × 90,688.50
4. Step 4: Simplify right side
   41,649.75x = 8,224,404,032.25
5. Step 5: Solve for x
   x = 8,224,404,032.25/41,649.75
6. Step 6: Final answer
   x = 197,465.87