Finding the Third Proportional to 12,966.75 and 23,897.25

Step by Step Solution

1. Step 1: Write the proportion equation
   12,966.75 : 23,897.25 = 23,897.25 : x
2. Step 2: Convert to fraction form
   12,966.75/23,897.25 = 23,897.25/x
3. Step 3: Cross multiply
   12,966.75x = 23,897.25 × 23,897.25
4. Step 4: Simplify right side
   12,966.75x = 571,078,557.56
5. Step 5: Solve for x
   x = 571,078,557.56/12,966.75
6. Step 6: Final answer
   x = 44,041.77