Finding the Third Proportional to 7,222 and 15,766.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,222 : 15,766.50 = 15,766.50 : x
2. Step 2: Convert to fraction form
   7,222/15,766.50 = 15,766.50/x
3. Step 3: Cross multiply
   7,222x = 15,766.50 × 15,766.50
4. Step 4: Simplify right side
   7,222x = 248,582,522.25
5. Step 5: Solve for x
   x = 248,582,522.25/7,222
6. Step 6: Final answer
   x = 34,420.18