Finding the Third Proportional to 43,746 and 91,650

Step by Step Solution

1. Step 1: Write the proportion equation
   43,746 : 91,650 = 91,650 : x
2. Step 2: Convert to fraction form
   43,746/91,650 = 91,650/x
3. Step 3: Cross multiply
   43,746x = 91,650 × 91,650
4. Step 4: Simplify right side
   43,746x = 8,399,722,500
5. Step 5: Solve for x
   x = 8,399,722,500/43,746
6. Step 6: Final answer
   x = 192,011.21