Finding the Third Proportional to 31,768 and 49,172

Step by Step Solution

1. Step 1: Write the proportion equation
   31,768 : 49,172 = 49,172 : x
2. Step 2: Convert to fraction form
   31,768/49,172 = 49,172/x
3. Step 3: Cross multiply
   31,768x = 49,172 × 49,172
4. Step 4: Simplify right side
   31,768x = 2,417,885,584
5. Step 5: Solve for x
   x = 2,417,885,584/31,768
6. Step 6: Final answer
   x = 76,110.73