Finding the Third Proportional to 3,466.13 and 7,627.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,466.13 : 7,627.50 = 7,627.50 : x
2. Step 2: Convert to fraction form
   3,466.13/7,627.50 = 7,627.50/x
3. Step 3: Cross multiply
   3,466.13x = 7,627.50 × 7,627.50
4. Step 4: Simplify right side
   3,466.13x = 58,178,756.25
5. Step 5: Solve for x
   x = 58,178,756.25/3,466.13
6. Step 6: Final answer
   x = 16,784.96