Finding the Third Proportional to 6,131.50 and 13,377.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,131.50 : 13,377.50 = 13,377.50 : x
2. Step 2: Convert to fraction form
   6,131.50/13,377.50 = 13,377.50/x
3. Step 3: Cross multiply
   6,131.50x = 13,377.50 × 13,377.50
4. Step 4: Simplify right side
   6,131.50x = 178,957,506.25
5. Step 5: Solve for x
   x = 178,957,506.25/6,131.50
6. Step 6: Final answer
   x = 29,186.58