Finding the Third Proportional to 23,564 and 51,560

Step by Step Solution

1. Step 1: Write the proportion equation
   23,564 : 51,560 = 51,560 : x
2. Step 2: Convert to fraction form
   23,564/51,560 = 51,560/x
3. Step 3: Cross multiply
   23,564x = 51,560 × 51,560
4. Step 4: Simplify right side
   23,564x = 2,658,433,600
5. Step 5: Solve for x
   x = 2,658,433,600/23,564
6. Step 6: Final answer
   x = 112,817.59