Finding the Third Proportional to 23,694 and 51,565.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,694 : 51,565.50 = 51,565.50 : x
2. Step 2: Convert to fraction form
   23,694/51,565.50 = 51,565.50/x
3. Step 3: Cross multiply
   23,694x = 51,565.50 × 51,565.50
4. Step 4: Simplify right side
   23,694x = 2,659,000,790.25
5. Step 5: Solve for x
   x = 2,659,000,790.25/23,694
6. Step 6: Final answer
   x = 112,222.54