Finding the Third Proportional to 30,816 and 40,468.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,816 : 40,468.50 = 40,468.50 : x
2. Step 2: Convert to fraction form
   30,816/40,468.50 = 40,468.50/x
3. Step 3: Cross multiply
   30,816x = 40,468.50 × 40,468.50
4. Step 4: Simplify right side
   30,816x = 1,637,699,492.25
5. Step 5: Solve for x
   x = 1,637,699,492.25/30,816
6. Step 6: Final answer
   x = 53,144.45