Finding the Third Proportional to 1,007.16 and 2,200.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,007.16 : 2,200.22 = 2,200.22 : x
2. Step 2: Convert to fraction form
   1,007.16/2,200.22 = 2,200.22/x
3. Step 3: Cross multiply
   1,007.16x = 2,200.22 × 2,200.22
4. Step 4: Simplify right side
   1,007.16x = 4,840,962.55
5. Step 5: Solve for x
   x = 4,840,962.55/1,007.16
6. Step 6: Final answer
   x = 4,806.57