Finding the Third Proportional to 6,407 and 13,132

Step by Step Solution

1. Step 1: Write the proportion equation
   6,407 : 13,132 = 13,132 : x
2. Step 2: Convert to fraction form
   6,407/13,132 = 13,132/x
3. Step 3: Cross multiply
   6,407x = 13,132 × 13,132
4. Step 4: Simplify right side
   6,407x = 172,449,424
5. Step 5: Solve for x
   x = 172,449,424/6,407
6. Step 6: Final answer
   x = 26,915.78