Finding the Third Proportional to 9,852.89 and 20,166.15

Step by Step Solution

1. Step 1: Write the proportion equation
   9,852.89 : 20,166.15 = 20,166.15 : x
2. Step 2: Convert to fraction form
   9,852.89/20,166.15 = 20,166.15/x
3. Step 3: Cross multiply
   9,852.89x = 20,166.15 × 20,166.15
4. Step 4: Simplify right side
   9,852.89x = 406,673,700.35
5. Step 5: Solve for x
   x = 406,673,700.35/9,852.89
6. Step 6: Final answer
   x = 41,274.56