Finding the Third Proportional to 2,991 and 6,131.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,991 : 6,131.50 = 6,131.50 : x
2. Step 2: Convert to fraction form
   2,991/6,131.50 = 6,131.50/x
3. Step 3: Cross multiply
   2,991x = 6,131.50 × 6,131.50
4. Step 4: Simplify right side
   2,991x = 37,595,292.25
5. Step 5: Solve for x
   x = 37,595,292.25/2,991
6. Step 6: Final answer
   x = 12,569.47