Finding the Third Proportional to 12,966.75 and 21,377.25

Step by Step Solution

1. Step 1: Write the proportion equation
   12,966.75 : 21,377.25 = 21,377.25 : x
2. Step 2: Convert to fraction form
   12,966.75/21,377.25 = 21,377.25/x
3. Step 3: Cross multiply
   12,966.75x = 21,377.25 × 21,377.25
4. Step 4: Simplify right side
   12,966.75x = 456,986,817.56
5. Step 5: Solve for x
   x = 456,986,817.56/12,966.75
6. Step 6: Final answer
   x = 35,242.97