Finding the Third Proportional to 6,592.50 and 13,374

Step by Step Solution

1. Step 1: Write the proportion equation
   6,592.50 : 13,374 = 13,374 : x
2. Step 2: Convert to fraction form
   6,592.50/13,374 = 13,374/x
3. Step 3: Cross multiply
   6,592.50x = 13,374 × 13,374
4. Step 4: Simplify right side
   6,592.50x = 178,863,876
5. Step 5: Solve for x
   x = 178,863,876/6,592.50
6. Step 6: Final answer
   x = 27,131.42