Finding the Third Proportional to 4,914 and 5,656.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,914 : 5,656.50 = 5,656.50 : x
2. Step 2: Convert to fraction form
   4,914/5,656.50 = 5,656.50/x
3. Step 3: Cross multiply
   4,914x = 5,656.50 × 5,656.50
4. Step 4: Simplify right side
   4,914x = 31,995,992.25
5. Step 5: Solve for x
   x = 31,995,992.25/4,914
6. Step 6: Final answer
   x = 6,511.19