Finding the Third Proportional to 5,065 and 7,630.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,065 : 7,630.50 = 7,630.50 : x
2. Step 2: Convert to fraction form
   5,065/7,630.50 = 7,630.50/x
3. Step 3: Cross multiply
   5,065x = 7,630.50 × 7,630.50
4. Step 4: Simplify right side
   5,065x = 58,224,530.25
5. Step 5: Solve for x
   x = 58,224,530.25/5,065
6. Step 6: Final answer
   x = 11,495.47