Finding the Third Proportional to 22,344 and 30,778.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,344 : 30,778.50 = 30,778.50 : x
2. Step 2: Convert to fraction form
   22,344/30,778.50 = 30,778.50/x
3. Step 3: Cross multiply
   22,344x = 30,778.50 × 30,778.50
4. Step 4: Simplify right side
   22,344x = 947,316,062.25
5. Step 5: Solve for x
   x = 947,316,062.25/22,344
6. Step 6: Final answer
   x = 42,396.89