Finding the Third Proportional to 5,776.31 and 12,506.06

Step by Step Solution

1. Step 1: Write the proportion equation
   5,776.31 : 12,506.06 = 12,506.06 : x
2. Step 2: Convert to fraction form
   5,776.31/12,506.06 = 12,506.06/x
3. Step 3: Cross multiply
   5,776.31x = 12,506.06 × 12,506.06
4. Step 4: Simplify right side
   5,776.31x = 156,401,599.25
5. Step 5: Solve for x
   x = 156,401,599.25/5,776.31
6. Step 6: Final answer
   x = 27,076.37