Finding the Third Proportional to 10,720 and 23,807

Step by Step Solution

1. Step 1: Write the proportion equation
   10,720 : 23,807 = 23,807 : x
2. Step 2: Convert to fraction form
   10,720/23,807 = 23,807/x
3. Step 3: Cross multiply
   10,720x = 23,807 × 23,807
4. Step 4: Simplify right side
   10,720x = 566,773,249
5. Step 5: Solve for x
   x = 566,773,249/10,720
6. Step 6: Final answer
   x = 52,870.64