Finding the Third Proportional to 31,829 and 69,364

Step by Step Solution

1. Step 1: Write the proportion equation
   31,829 : 69,364 = 69,364 : x
2. Step 2: Convert to fraction form
   31,829/69,364 = 69,364/x
3. Step 3: Cross multiply
   31,829x = 69,364 × 69,364
4. Step 4: Simplify right side
   31,829x = 4,811,364,496
5. Step 5: Solve for x
   x = 4,811,364,496/31,829
6. Step 6: Final answer
   x = 151,162.92