Finding the Third Proportional to 6,402 and 10,523

Step by Step Solution

1. Step 1: Write the proportion equation
   6,402 : 10,523 = 10,523 : x
2. Step 2: Convert to fraction form
   6,402/10,523 = 10,523/x
3. Step 3: Cross multiply
   6,402x = 10,523 × 10,523
4. Step 4: Simplify right side
   6,402x = 110,733,529
5. Step 5: Solve for x
   x = 110,733,529/6,402
6. Step 6: Final answer
   x = 17,296.71