Finding the Third Proportional to 22,344 and 34,784

Step by Step Solution

1. Step 1: Write the proportion equation
   22,344 : 34,784 = 34,784 : x
2. Step 2: Convert to fraction form
   22,344/34,784 = 34,784/x
3. Step 3: Cross multiply
   22,344x = 34,784 × 34,784
4. Step 4: Simplify right side
   22,344x = 1,209,926,656
5. Step 5: Solve for x
   x = 1,209,926,656/22,344
6. Step 6: Final answer
   x = 54,149.96