Finding the Third Proportional to 3,802.25 and 5,572

Step by Step Solution

1. Step 1: Write the proportion equation
   3,802.25 : 5,572 = 5,572 : x
2. Step 2: Convert to fraction form
   3,802.25/5,572 = 5,572/x
3. Step 3: Cross multiply
   3,802.25x = 5,572 × 5,572
4. Step 4: Simplify right side
   3,802.25x = 31,047,184
5. Step 5: Solve for x
   x = 31,047,184/3,802.25
6. Step 6: Final answer
   x = 8,165.48