Finding the Third Proportional to 10,692 and 23,626.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,692 : 23,626.69 = 23,626.69 : x
2. Step 2: Convert to fraction form
   10,692/23,626.69 = 23,626.69/x
3. Step 3: Cross multiply
   10,692x = 23,626.69 × 23,626.69
4. Step 4: Simplify right side
   10,692x = 558,220,362.22
5. Step 5: Solve for x
   x = 558,220,362.22/10,692
6. Step 6: Final answer
   x = 52,209.16