Finding the Third Proportional to 2,354.06 and 5,156.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,354.06 : 5,156.16 = 5,156.16 : x
2. Step 2: Convert to fraction form
   2,354.06/5,156.16 = 5,156.16/x
3. Step 3: Cross multiply
   2,354.06x = 5,156.16 × 5,156.16
4. Step 4: Simplify right side
   2,354.06x = 26,585,947.27
5. Step 5: Solve for x
   x = 26,585,947.27/2,354.06
6. Step 6: Final answer
   x = 11,293.65