Finding the Third Proportional to 5,816 and 7,468.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,816 : 7,468.50 = 7,468.50 : x
2. Step 2: Convert to fraction form
   5,816/7,468.50 = 7,468.50/x
3. Step 3: Cross multiply
   5,816x = 7,468.50 × 7,468.50
4. Step 4: Simplify right side
   5,816x = 55,778,492.25
5. Step 5: Solve for x
   x = 55,778,492.25/5,816
6. Step 6: Final answer
   x = 9,590.52