Finding the Third Proportional to 31,764 and 69,172

Step by Step Solution

1. Step 1: Write the proportion equation
   31,764 : 69,172 = 69,172 : x
2. Step 2: Convert to fraction form
   31,764/69,172 = 69,172/x
3. Step 3: Cross multiply
   31,764x = 69,172 × 69,172
4. Step 4: Simplify right side
   31,764x = 4,784,765,584
5. Step 5: Solve for x
   x = 4,784,765,584/31,764
6. Step 6: Final answer
   x = 150,634.86