Finding the Third Proportional to 34,802 and 74,164

Step by Step Solution

1. Step 1: Write the proportion equation
   34,802 : 74,164 = 74,164 : x
2. Step 2: Convert to fraction form
   34,802/74,164 = 74,164/x
3. Step 3: Cross multiply
   34,802x = 74,164 × 74,164
4. Step 4: Simplify right side
   34,802x = 5,500,298,896
5. Step 5: Solve for x
   x = 5,500,298,896/34,802
6. Step 6: Final answer
   x = 158,045.48