Finding the Third Proportional to 6,492 and 7,196

Step by Step Solution

1. Step 1: Write the proportion equation
   6,492 : 7,196 = 7,196 : x
2. Step 2: Convert to fraction form
   6,492/7,196 = 7,196/x
3. Step 3: Cross multiply
   6,492x = 7,196 × 7,196
4. Step 4: Simplify right side
   6,492x = 51,782,416
5. Step 5: Solve for x
   x = 51,782,416/6,492
6. Step 6: Final answer
   x = 7,976.34