Finding the Third Proportional to 34,478 and 71,113

Step by Step Solution

1. Step 1: Write the proportion equation
   34,478 : 71,113 = 71,113 : x
2. Step 2: Convert to fraction form
   34,478/71,113 = 71,113/x
3. Step 3: Cross multiply
   34,478x = 71,113 × 71,113
4. Step 4: Simplify right side
   34,478x = 5,057,058,769
5. Step 5: Solve for x
   x = 5,057,058,769/34,478
6. Step 6: Final answer
   x = 146,674.95