Finding the Third Proportional to 4,677 and 5,944.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,677 : 5,944.50 = 5,944.50 : x
2. Step 2: Convert to fraction form
   4,677/5,944.50 = 5,944.50/x
3. Step 3: Cross multiply
   4,677x = 5,944.50 × 5,944.50
4. Step 4: Simplify right side
   4,677x = 35,337,080.25
5. Step 5: Solve for x
   x = 35,337,080.25/4,677
6. Step 6: Final answer
   x = 7,555.50