Finding the Third Proportional to 34,762 and 76,058

Step by Step Solution

1. Step 1: Write the proportion equation
   34,762 : 76,058 = 76,058 : x
2. Step 2: Convert to fraction form
   34,762/76,058 = 76,058/x
3. Step 3: Cross multiply
   34,762x = 76,058 × 76,058
4. Step 4: Simplify right side
   34,762x = 5,784,819,364
5. Step 5: Solve for x
   x = 5,784,819,364/34,762
6. Step 6: Final answer
   x = 166,412.16