Finding the Third Proportional to 6,510 and 12,237

Step by Step Solution

1. Step 1: Write the proportion equation
   6,510 : 12,237 = 12,237 : x
2. Step 2: Convert to fraction form
   6,510/12,237 = 12,237/x
3. Step 3: Cross multiply
   6,510x = 12,237 × 12,237
4. Step 4: Simplify right side
   6,510x = 149,744,169
5. Step 5: Solve for x
   x = 149,744,169/6,510
6. Step 6: Final answer
   x = 23,002.18