Finding the Third Proportional to 34,924 and 54,120

Step by Step Solution

1. Step 1: Write the proportion equation
   34,924 : 54,120 = 54,120 : x
2. Step 2: Convert to fraction form
   34,924/54,120 = 54,120/x
3. Step 3: Cross multiply
   34,924x = 54,120 × 54,120
4. Step 4: Simplify right side
   34,924x = 2,928,974,400
5. Step 5: Solve for x
   x = 2,928,974,400/34,924
6. Step 6: Final answer
   x = 83,867.09