Finding the Third Proportional to 10,510 and 12,346

Step by Step Solution

1. Step 1: Write the proportion equation
   10,510 : 12,346 = 12,346 : x
2. Step 2: Convert to fraction form
   10,510/12,346 = 12,346/x
3. Step 3: Cross multiply
   10,510x = 12,346 × 12,346
4. Step 4: Simplify right side
   10,510x = 152,423,716
5. Step 5: Solve for x
   x = 152,423,716/10,510
6. Step 6: Final answer
   x = 14,502.73