Finding the Third Proportional to 34,624 and 54,240

Step by Step Solution

1. Step 1: Write the proportion equation
   34,624 : 54,240 = 54,240 : x
2. Step 2: Convert to fraction form
   34,624/54,240 = 54,240/x
3. Step 3: Cross multiply
   34,624x = 54,240 × 54,240
4. Step 4: Simplify right side
   34,624x = 2,941,977,600
5. Step 5: Solve for x
   x = 2,941,977,600/34,624
6. Step 6: Final answer
   x = 84,969.32