Finding the Third Proportional to 2,427 and 5,705.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,427 : 5,705.25 = 5,705.25 : x
2. Step 2: Convert to fraction form
   2,427/5,705.25 = 5,705.25/x
3. Step 3: Cross multiply
   2,427x = 5,705.25 × 5,705.25
4. Step 4: Simplify right side
   2,427x = 32,549,877.56
5. Step 5: Solve for x
   x = 32,549,877.56/2,427
6. Step 6: Final answer
   x = 13,411.57