Finding the Third Proportional to 10,795.50 and 22,878

Step by Step Solution

1. Step 1: Write the proportion equation
   10,795.50 : 22,878 = 22,878 : x
2. Step 2: Convert to fraction form
   10,795.50/22,878 = 22,878/x
3. Step 3: Cross multiply
   10,795.50x = 22,878 × 22,878
4. Step 4: Simplify right side
   10,795.50x = 523,402,884
5. Step 5: Solve for x
   x = 523,402,884/10,795.50
6. Step 6: Final answer
   x = 48,483.43