Finding the Third Proportional to 10,588 and 23,353

Step by Step Solution

1. Step 1: Write the proportion equation
   10,588 : 23,353 = 23,353 : x
2. Step 2: Convert to fraction form
   10,588/23,353 = 23,353/x
3. Step 3: Cross multiply
   10,588x = 23,353 × 23,353
4. Step 4: Simplify right side
   10,588x = 545,362,609
5. Step 5: Solve for x
   x = 545,362,609/10,588
6. Step 6: Final answer
   x = 51,507.61