Finding the Third Proportional to 34,886 and 73,478

Step by Step Solution

1. Step 1: Write the proportion equation
   34,886 : 73,478 = 73,478 : x
2. Step 2: Convert to fraction form
   34,886/73,478 = 73,478/x
3. Step 3: Cross multiply
   34,886x = 73,478 × 73,478
4. Step 4: Simplify right side
   34,886x = 5,399,016,484
5. Step 5: Solve for x
   x = 5,399,016,484/34,886
6. Step 6: Final answer
   x = 154,761.69