Finding the Third Proportional to 34,164 and 72,846

Step by Step Solution

1. Step 1: Write the proportion equation
   34,164 : 72,846 = 72,846 : x
2. Step 2: Convert to fraction form
   34,164/72,846 = 72,846/x
3. Step 3: Cross multiply
   34,164x = 72,846 × 72,846
4. Step 4: Simplify right side
   34,164x = 5,306,539,716
5. Step 5: Solve for x
   x = 5,306,539,716/34,164
6. Step 6: Final answer
   x = 155,325.48