Finding the Third Proportional to 12,964 and 17,412

Step by Step Solution

1. Step 1: Write the proportion equation
   12,964 : 17,412 = 17,412 : x
2. Step 2: Convert to fraction form
   12,964/17,412 = 17,412/x
3. Step 3: Cross multiply
   12,964x = 17,412 × 17,412
4. Step 4: Simplify right side
   12,964x = 303,177,744
5. Step 5: Solve for x
   x = 303,177,744/12,964
6. Step 6: Final answer
   x = 23,386.13