Finding the Third Proportional to 2,914.75 and 4,622.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,914.75 : 4,622.50 = 4,622.50 : x
2. Step 2: Convert to fraction form
   2,914.75/4,622.50 = 4,622.50/x
3. Step 3: Cross multiply
   2,914.75x = 4,622.50 × 4,622.50
4. Step 4: Simplify right side
   2,914.75x = 21,367,506.25
5. Step 5: Solve for x
   x = 21,367,506.25/2,914.75
6. Step 6: Final answer
   x = 7,330.82