Finding the Third Proportional to 34,784 and 54,012

Step by Step Solution

1. Step 1: Write the proportion equation
   34,784 : 54,012 = 54,012 : x
2. Step 2: Convert to fraction form
   34,784/54,012 = 54,012/x
3. Step 3: Cross multiply
   34,784x = 54,012 × 54,012
4. Step 4: Simplify right side
   34,784x = 2,917,296,144
5. Step 5: Solve for x
   x = 2,917,296,144/34,784
6. Step 6: Final answer
   x = 83,868.91