Finding the Third Proportional to 11,694 and 25,579.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,694 : 25,579.50 = 25,579.50 : x
2. Step 2: Convert to fraction form
   11,694/25,579.50 = 25,579.50/x
3. Step 3: Cross multiply
   11,694x = 25,579.50 × 25,579.50
4. Step 4: Simplify right side
   11,694x = 654,310,820.25
5. Step 5: Solve for x
   x = 654,310,820.25/11,694
6. Step 6: Final answer
   x = 55,952.70