Finding the Third Proportional to 7,314.75 and 16,276.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,314.75 : 16,276.50 = 16,276.50 : x
2. Step 2: Convert to fraction form
   7,314.75/16,276.50 = 16,276.50/x
3. Step 3: Cross multiply
   7,314.75x = 16,276.50 × 16,276.50
4. Step 4: Simplify right side
   7,314.75x = 264,924,452.25
5. Step 5: Solve for x
   x = 264,924,452.25/7,314.75
6. Step 6: Final answer
   x = 36,217.84