Finding the Third Proportional to 10,588 and 23,274

Step by Step Solution

1. Step 1: Write the proportion equation
   10,588 : 23,274 = 23,274 : x
2. Step 2: Convert to fraction form
   10,588/23,274 = 23,274/x
3. Step 3: Cross multiply
   10,588x = 23,274 × 23,274
4. Step 4: Simplify right side
   10,588x = 541,679,076
5. Step 5: Solve for x
   x = 541,679,076/10,588
6. Step 6: Final answer
   x = 51,159.72