Finding the Third Proportional to 6,510 and 14,426

Step by Step Solution

1. Step 1: Write the proportion equation
   6,510 : 14,426 = 14,426 : x
2. Step 2: Convert to fraction form
   6,510/14,426 = 14,426/x
3. Step 3: Cross multiply
   6,510x = 14,426 × 14,426
4. Step 4: Simplify right side
   6,510x = 208,109,476
5. Step 5: Solve for x
   x = 208,109,476/6,510
6. Step 6: Final answer
   x = 31,967.66