Finding the Third Proportional to 4,774.50 and 10,462.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,774.50 : 10,462.50 = 10,462.50 : x
2. Step 2: Convert to fraction form
   4,774.50/10,462.50 = 10,462.50/x
3. Step 3: Cross multiply
   4,774.50x = 10,462.50 × 10,462.50
4. Step 4: Simplify right side
   4,774.50x = 109,463,906.25
5. Step 5: Solve for x
   x = 109,463,906.25/4,774.50
6. Step 6: Final answer
   x = 22,926.78