Finding the Third Proportional to 39,648 and 53,820

Step by Step Solution

1. Step 1: Write the proportion equation
   39,648 : 53,820 = 53,820 : x
2. Step 2: Convert to fraction form
   39,648/53,820 = 53,820/x
3. Step 3: Cross multiply
   39,648x = 53,820 × 53,820
4. Step 4: Simplify right side
   39,648x = 2,896,592,400
5. Step 5: Solve for x
   x = 2,896,592,400/39,648
6. Step 6: Final answer
   x = 73,057.72