Finding the Third Proportional to 2,892.86 and 6,314.32

Step by Step Solution

1. Step 1: Write the proportion equation
   2,892.86 : 6,314.32 = 6,314.32 : x
2. Step 2: Convert to fraction form
   2,892.86/6,314.32 = 6,314.32/x
3. Step 3: Cross multiply
   2,892.86x = 6,314.32 × 6,314.32
4. Step 4: Simplify right side
   2,892.86x = 39,870,659.51
5. Step 5: Solve for x
   x = 39,870,659.51/2,892.86
6. Step 6: Final answer
   x = 13,782.42