Finding the Third Proportional to 41,765.63 and 64,626.61

Step by Step Solution

1. Step 1: Write the proportion equation
   41,765.63 : 64,626.61 = 64,626.61 : x
2. Step 2: Convert to fraction form
   41,765.63/64,626.61 = 64,626.61/x
3. Step 3: Cross multiply
   41,765.63x = 64,626.61 × 64,626.61
4. Step 4: Simplify right side
   41,765.63x = 4,176,598,639.31
5. Step 5: Solve for x
   x = 4,176,598,639.31/41,765.63
6. Step 6: Final answer
   x = 100,000.87