Finding the Third Proportional to 10,570 and 23,264

Step by Step Solution

1. Step 1: Write the proportion equation
   10,570 : 23,264 = 23,264 : x
2. Step 2: Convert to fraction form
   10,570/23,264 = 23,264/x
3. Step 3: Cross multiply
   10,570x = 23,264 × 23,264
4. Step 4: Simplify right side
   10,570x = 541,213,696
5. Step 5: Solve for x
   x = 541,213,696/10,570
6. Step 6: Final answer
   x = 51,202.81