Finding the Third Proportional to 12,906 and 17,205.75

Step by Step Solution

1. Step 1: Write the proportion equation
   12,906 : 17,205.75 = 17,205.75 : x
2. Step 2: Convert to fraction form
   12,906/17,205.75 = 17,205.75/x
3. Step 3: Cross multiply
   12,906x = 17,205.75 × 17,205.75
4. Step 4: Simplify right side
   12,906x = 296,037,833.06
5. Step 5: Solve for x
   x = 296,037,833.06/12,906
6. Step 6: Final answer
   x = 22,938.00