Finding the Third Proportional to 34,127 and 73,802

Step by Step Solution

1. Step 1: Write the proportion equation
   34,127 : 73,802 = 73,802 : x
2. Step 2: Convert to fraction form
   34,127/73,802 = 73,802/x
3. Step 3: Cross multiply
   34,127x = 73,802 × 73,802
4. Step 4: Simplify right side
   34,127x = 5,446,735,204
5. Step 5: Solve for x
   x = 5,446,735,204/34,127
6. Step 6: Final answer
   x = 159,601.93