Finding the Third Proportional to 34,058 and 71,788

Step by Step Solution

1. Step 1: Write the proportion equation
   34,058 : 71,788 = 71,788 : x
2. Step 2: Convert to fraction form
   34,058/71,788 = 71,788/x
3. Step 3: Cross multiply
   34,058x = 71,788 × 71,788
4. Step 4: Simplify right side
   34,058x = 5,153,516,944
5. Step 5: Solve for x
   x = 5,153,516,944/34,058
6. Step 6: Final answer
   x = 151,315.90