Finding the Third Proportional to 6,407 and 10,587

Step by Step Solution

1. Step 1: Write the proportion equation
   6,407 : 10,587 = 10,587 : x
2. Step 2: Convert to fraction form
   6,407/10,587 = 10,587/x
3. Step 3: Cross multiply
   6,407x = 10,587 × 10,587
4. Step 4: Simplify right side
   6,407x = 112,084,569
5. Step 5: Solve for x
   x = 112,084,569/6,407
6. Step 6: Final answer
   x = 17,494.08