Finding the Third Proportional to 6,402 and 12,628.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,402 : 12,628.50 = 12,628.50 : x
2. Step 2: Convert to fraction form
   6,402/12,628.50 = 12,628.50/x
3. Step 3: Cross multiply
   6,402x = 12,628.50 × 12,628.50
4. Step 4: Simplify right side
   6,402x = 159,479,012.25
5. Step 5: Solve for x
   x = 159,479,012.25/6,402
6. Step 6: Final answer
   x = 24,910.81