Finding the Third Proportional to 4,822 and 10,569.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,822 : 10,569.50 = 10,569.50 : x
2. Step 2: Convert to fraction form
   4,822/10,569.50 = 10,569.50/x
3. Step 3: Cross multiply
   4,822x = 10,569.50 × 10,569.50
4. Step 4: Simplify right side
   4,822x = 111,714,330.25
5. Step 5: Solve for x
   x = 111,714,330.25/4,822
6. Step 6: Final answer
   x = 23,167.63