Finding the Third Proportional to 5,116.13 and 7,885.31

Step by Step Solution

1. Step 1: Write the proportion equation
   5,116.13 : 7,885.31 = 7,885.31 : x
2. Step 2: Convert to fraction form
   5,116.13/7,885.31 = 7,885.31/x
3. Step 3: Cross multiply
   5,116.13x = 7,885.31 × 7,885.31
4. Step 4: Simplify right side
   5,116.13x = 62,178,153.22
5. Step 5: Solve for x
   x = 62,178,153.22/5,116.13
6. Step 6: Final answer
   x = 12,153.37