Finding the Third Proportional to 9,746 and 20,160.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,746 : 20,160.50 = 20,160.50 : x
2. Step 2: Convert to fraction form
   9,746/20,160.50 = 20,160.50/x
3. Step 3: Cross multiply
   9,746x = 20,160.50 × 20,160.50
4. Step 4: Simplify right side
   9,746x = 406,445,760.25
5. Step 5: Solve for x
   x = 406,445,760.25/9,746
6. Step 6: Final answer
   x = 41,703.85