Finding the Third Proportional to 31,784 and 69,406

Step by Step Solution

1. Step 1: Write the proportion equation
   31,784 : 69,406 = 69,406 : x
2. Step 2: Convert to fraction form
   31,784/69,406 = 69,406/x
3. Step 3: Cross multiply
   31,784x = 69,406 × 69,406
4. Step 4: Simplify right side
   31,784x = 4,817,192,836
5. Step 5: Solve for x
   x = 4,817,192,836/31,784
6. Step 6: Final answer
   x = 151,560.31