Finding the Third Proportional to 32,801 and 49,208

Step by Step Solution

1. Step 1: Write the proportion equation
   32,801 : 49,208 = 49,208 : x
2. Step 2: Convert to fraction form
   32,801/49,208 = 49,208/x
3. Step 3: Cross multiply
   32,801x = 49,208 × 49,208
4. Step 4: Simplify right side
   32,801x = 2,421,427,264
5. Step 5: Solve for x
   x = 2,421,427,264/32,801
6. Step 6: Final answer
   x = 73,821.75