Finding the Third Proportional to 4,653 and 5,914.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,653 : 5,914.50 = 5,914.50 : x
2. Step 2: Convert to fraction form
   4,653/5,914.50 = 5,914.50/x
3. Step 3: Cross multiply
   4,653x = 5,914.50 × 5,914.50
4. Step 4: Simplify right side
   4,653x = 34,981,310.25
5. Step 5: Solve for x
   x = 34,981,310.25/4,653
6. Step 6: Final answer
   x = 7,518.01