Finding the Third Proportional to 31,897 and 69,323

Step by Step Solution

1. Step 1: Write the proportion equation
   31,897 : 69,323 = 69,323 : x
2. Step 2: Convert to fraction form
   31,897/69,323 = 69,323/x
3. Step 3: Cross multiply
   31,897x = 69,323 × 69,323
4. Step 4: Simplify right side
   31,897x = 4,805,678,329
5. Step 5: Solve for x
   x = 4,805,678,329/31,897
6. Step 6: Final answer
   x = 150,662.39