Finding the Third Proportional to 6,345 and 12,964.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,345 : 12,964.50 = 12,964.50 : x
2. Step 2: Convert to fraction form
   6,345/12,964.50 = 12,964.50/x
3. Step 3: Cross multiply
   6,345x = 12,964.50 × 12,964.50
4. Step 4: Simplify right side
   6,345x = 168,078,260.25
5. Step 5: Solve for x
   x = 168,078,260.25/6,345
6. Step 6: Final answer
   x = 26,489.88