Finding the Third Proportional to 4,654 and 7,108.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,654 : 7,108.50 = 7,108.50 : x
2. Step 2: Convert to fraction form
   4,654/7,108.50 = 7,108.50/x
3. Step 3: Cross multiply
   4,654x = 7,108.50 × 7,108.50
4. Step 4: Simplify right side
   4,654x = 50,530,772.25
5. Step 5: Solve for x
   x = 50,530,772.25/4,654
6. Step 6: Final answer
   x = 10,857.49