Finding the Third Proportional to 31,994 and 74,741

Step by Step Solution

1. Step 1: Write the proportion equation
   31,994 : 74,741 = 74,741 : x
2. Step 2: Convert to fraction form
   31,994/74,741 = 74,741/x
3. Step 3: Cross multiply
   31,994x = 74,741 × 74,741
4. Step 4: Simplify right side
   31,994x = 5,586,217,081
5. Step 5: Solve for x
   x = 5,586,217,081/31,994
6. Step 6: Final answer
   x = 174,602.02