Finding the Third Proportional to 22,382 and 34,271

Step by Step Solution

1. Step 1: Write the proportion equation
   22,382 : 34,271 = 34,271 : x
2. Step 2: Convert to fraction form
   22,382/34,271 = 34,271/x
3. Step 3: Cross multiply
   22,382x = 34,271 × 34,271
4. Step 4: Simplify right side
   22,382x = 1,174,501,441
5. Step 5: Solve for x
   x = 1,174,501,441/22,382
6. Step 6: Final answer
   x = 52,475.27