Finding the Third Proportional to 22,815 and 30,766.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,815 : 30,766.50 = 30,766.50 : x
2. Step 2: Convert to fraction form
   22,815/30,766.50 = 30,766.50/x
3. Step 3: Cross multiply
   22,815x = 30,766.50 × 30,766.50
4. Step 4: Simplify right side
   22,815x = 946,577,522.25
5. Step 5: Solve for x
   x = 946,577,522.25/22,815
6. Step 6: Final answer
   x = 41,489.26