Finding the Third Proportional to 34,142 and 72,176

Step by Step Solution

1. Step 1: Write the proportion equation
   34,142 : 72,176 = 72,176 : x
2. Step 2: Convert to fraction form
   34,142/72,176 = 72,176/x
3. Step 3: Cross multiply
   34,142x = 72,176 × 72,176
4. Step 4: Simplify right side
   34,142x = 5,209,374,976
5. Step 5: Solve for x
   x = 5,209,374,976/34,142
6. Step 6: Final answer
   x = 152,579.67