Finding the Third Proportional to 6,684.50 and 13,531.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,684.50 : 13,531.25 = 13,531.25 : x
2. Step 2: Convert to fraction form
   6,684.50/13,531.25 = 13,531.25/x
3. Step 3: Cross multiply
   6,684.50x = 13,531.25 × 13,531.25
4. Step 4: Simplify right side
   6,684.50x = 183,094,726.56
5. Step 5: Solve for x
   x = 183,094,726.56/6,684.50
6. Step 6: Final answer
   x = 27,390.94