Finding the Third Proportional to 2,191.31 and 4,752.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,191.31 : 4,752.25 = 4,752.25 : x
2. Step 2: Convert to fraction form
   2,191.31/4,752.25 = 4,752.25/x
3. Step 3: Cross multiply
   2,191.31x = 4,752.25 × 4,752.25
4. Step 4: Simplify right side
   2,191.31x = 22,583,880.06
5. Step 5: Solve for x
   x = 22,583,880.06/2,191.31
6. Step 6: Final answer
   x = 10,306.10