Finding the Third Proportional to 31,762 and 73,852

Step by Step Solution

1. Step 1: Write the proportion equation
   31,762 : 73,852 = 73,852 : x
2. Step 2: Convert to fraction form
   31,762/73,852 = 73,852/x
3. Step 3: Cross multiply
   31,762x = 73,852 × 73,852
4. Step 4: Simplify right side
   31,762x = 5,454,117,904
5. Step 5: Solve for x
   x = 5,454,117,904/31,762
6. Step 6: Final answer
   x = 171,718.34