Finding the Third Proportional to 6,548 and 13,492

Step by Step Solution

1. Step 1: Write the proportion equation
   6,548 : 13,492 = 13,492 : x
2. Step 2: Convert to fraction form
   6,548/13,492 = 13,492/x
3. Step 3: Cross multiply
   6,548x = 13,492 × 13,492
4. Step 4: Simplify right side
   6,548x = 182,034,064
5. Step 5: Solve for x
   x = 182,034,064/6,548
6. Step 6: Final answer
   x = 27,799.95