Finding the Third Proportional to 4,832.13 and 7,466.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,832.13 : 7,466.50 = 7,466.50 : x
2. Step 2: Convert to fraction form
   4,832.13/7,466.50 = 7,466.50/x
3. Step 3: Cross multiply
   4,832.13x = 7,466.50 × 7,466.50
4. Step 4: Simplify right side
   4,832.13x = 55,748,622.25
5. Step 5: Solve for x
   x = 55,748,622.25/4,832.13
6. Step 6: Final answer
   x = 11,537.08