Finding the Third Proportional to 10,816.50 and 22,377

Step by Step Solution

1. Step 1: Write the proportion equation
   10,816.50 : 22,377 = 22,377 : x
2. Step 2: Convert to fraction form
   10,816.50/22,377 = 22,377/x
3. Step 3: Cross multiply
   10,816.50x = 22,377 × 22,377
4. Step 4: Simplify right side
   10,816.50x = 500,730,129
5. Step 5: Solve for x
   x = 500,730,129/10,816.50
6. Step 6: Final answer
   x = 46,293.18