Finding the Third Proportional to 52,162 and 74,751

Step by Step Solution

1. Step 1: Write the proportion equation
   52,162 : 74,751 = 74,751 : x
2. Step 2: Convert to fraction form
   52,162/74,751 = 74,751/x
3. Step 3: Cross multiply
   52,162x = 74,751 × 74,751
4. Step 4: Simplify right side
   52,162x = 5,587,712,001
5. Step 5: Solve for x
   x = 5,587,712,001/52,162
6. Step 6: Final answer
   x = 107,122.27