Finding the Third Proportional to 23,570 and 51,294

Step by Step Solution

1. Step 1: Write the proportion equation
   23,570 : 51,294 = 51,294 : x
2. Step 2: Convert to fraction form
   23,570/51,294 = 51,294/x
3. Step 3: Cross multiply
   23,570x = 51,294 × 51,294
4. Step 4: Simplify right side
   23,570x = 2,631,074,436
5. Step 5: Solve for x
   x = 2,631,074,436/23,570
6. Step 6: Final answer
   x = 111,628.11