Finding the Third Proportional to 5,411.25 and 8,152.31

Step by Step Solution

1. Step 1: Write the proportion equation
   5,411.25 : 8,152.31 = 8,152.31 : x
2. Step 2: Convert to fraction form
   5,411.25/8,152.31 = 8,152.31/x
3. Step 3: Cross multiply
   5,411.25x = 8,152.31 × 8,152.31
4. Step 4: Simplify right side
   5,411.25x = 66,460,199.10
5. Step 5: Solve for x
   x = 66,460,199.10/5,411.25
6. Step 6: Final answer
   x = 12,281.86