Finding the Third Proportional to 5,111.86 and 8,032.29

Step by Step Solution

1. Step 1: Write the proportion equation
   5,111.86 : 8,032.29 = 8,032.29 : x
2. Step 2: Convert to fraction form
   5,111.86/8,032.29 = 8,032.29/x
3. Step 3: Cross multiply
   5,111.86x = 8,032.29 × 8,032.29
4. Step 4: Simplify right side
   5,111.86x = 64,517,667.58
5. Step 5: Solve for x
   x = 64,517,667.58/5,111.86
6. Step 6: Final answer
   x = 12,621.17