Finding the Third Proportional to 31,633 and 67,364

Step by Step Solution

1. Step 1: Write the proportion equation
   31,633 : 67,364 = 67,364 : x
2. Step 2: Convert to fraction form
   31,633/67,364 = 67,364/x
3. Step 3: Cross multiply
   31,633x = 67,364 × 67,364
4. Step 4: Simplify right side
   31,633x = 4,537,908,496
5. Step 5: Solve for x
   x = 4,537,908,496/31,633
6. Step 6: Final answer
   x = 143,454.89