Finding the Third Proportional to 23,597 and 51,569.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,597 : 51,569.50 = 51,569.50 : x
2. Step 2: Convert to fraction form
   23,597/51,569.50 = 51,569.50/x
3. Step 3: Cross multiply
   23,597x = 51,569.50 × 51,569.50
4. Step 4: Simplify right side
   23,597x = 2,659,413,330.25
5. Step 5: Solve for x
   x = 2,659,413,330.25/23,597
6. Step 6: Final answer
   x = 112,701.33