Finding the Third Proportional to 12,694 and 25,695.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,694 : 25,695.50 = 25,695.50 : x
2. Step 2: Convert to fraction form
   12,694/25,695.50 = 25,695.50/x
3. Step 3: Cross multiply
   12,694x = 25,695.50 × 25,695.50
4. Step 4: Simplify right side
   12,694x = 660,258,720.25
5. Step 5: Solve for x
   x = 660,258,720.25/12,694
6. Step 6: Final answer
   x = 52,013.45