Finding the Third Proportional to 22,176 and 34,380

Step by Step Solution

1. Step 1: Write the proportion equation
   22,176 : 34,380 = 34,380 : x
2. Step 2: Convert to fraction form
   22,176/34,380 = 34,380/x
3. Step 3: Cross multiply
   22,176x = 34,380 × 34,380
4. Step 4: Simplify right side
   22,176x = 1,181,984,400
5. Step 5: Solve for x
   x = 1,181,984,400/22,176
6. Step 6: Final answer
   x = 53,300.16