Finding the Third Proportional to 41,964.75 and 90,166.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,964.75 : 90,166.50 = 90,166.50 : x
2. Step 2: Convert to fraction form
   41,964.75/90,166.50 = 90,166.50/x
3. Step 3: Cross multiply
   41,964.75x = 90,166.50 × 90,166.50
4. Step 4: Simplify right side
   41,964.75x = 8,129,997,722.25
5. Step 5: Solve for x
   x = 8,129,997,722.25/41,964.75
6. Step 6: Final answer
   x = 193,733.97