Finding the Third Proportional to 32,258 and 49,846

Step by Step Solution

1. Step 1: Write the proportion equation
   32,258 : 49,846 = 49,846 : x
2. Step 2: Convert to fraction form
   32,258/49,846 = 49,846/x
3. Step 3: Cross multiply
   32,258x = 49,846 × 49,846
4. Step 4: Simplify right side
   32,258x = 2,484,623,716
5. Step 5: Solve for x
   x = 2,484,623,716/32,258
6. Step 6: Final answer
   x = 77,023.49