Finding the Third Proportional to 5,781.94 and 8,827.31

Step by Step Solution

1. Step 1: Write the proportion equation
   5,781.94 : 8,827.31 = 8,827.31 : x
2. Step 2: Convert to fraction form
   5,781.94/8,827.31 = 8,827.31/x
3. Step 3: Cross multiply
   5,781.94x = 8,827.31 × 8,827.31
4. Step 4: Simplify right side
   5,781.94x = 77,921,445.97
5. Step 5: Solve for x
   x = 77,921,445.97/5,781.94
6. Step 6: Final answer
   x = 13,476.70