Finding the Third Proportional to 54,126 and 84,012

Step by Step Solution

1. Step 1: Write the proportion equation
   54,126 : 84,012 = 84,012 : x
2. Step 2: Convert to fraction form
   54,126/84,012 = 84,012/x
3. Step 3: Cross multiply
   54,126x = 84,012 × 84,012
4. Step 4: Simplify right side
   54,126x = 7,058,016,144
5. Step 5: Solve for x
   x = 7,058,016,144/54,126
6. Step 6: Final answer
   x = 130,399.74