Finding the Third Proportional to 10,289.53 and 22,166.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,289.53 : 22,166.16 = 22,166.16 : x
2. Step 2: Convert to fraction form
   10,289.53/22,166.16 = 22,166.16/x
3. Step 3: Cross multiply
   10,289.53x = 22,166.16 × 22,166.16
4. Step 4: Simplify right side
   10,289.53x = 491,338,482.90
5. Step 5: Solve for x
   x = 491,338,482.90/10,289.53
6. Step 6: Final answer
   x = 47,751.30