Finding the Third Proportional to 10,720 and 23,077

Step by Step Solution

1. Step 1: Write the proportion equation
   10,720 : 23,077 = 23,077 : x
2. Step 2: Convert to fraction form
   10,720/23,077 = 23,077/x
3. Step 3: Cross multiply
   10,720x = 23,077 × 23,077
4. Step 4: Simplify right side
   10,720x = 532,547,929
5. Step 5: Solve for x
   x = 532,547,929/10,720
6. Step 6: Final answer
   x = 49,677.98