Finding the Third Proportional to 32,814 and 49,211

Step by Step Solution

1. Step 1: Write the proportion equation
   32,814 : 49,211 = 49,211 : x
2. Step 2: Convert to fraction form
   32,814/49,211 = 49,211/x
3. Step 3: Cross multiply
   32,814x = 49,211 × 49,211
4. Step 4: Simplify right side
   32,814x = 2,421,722,521
5. Step 5: Solve for x
   x = 2,421,722,521/32,814
6. Step 6: Final answer
   x = 73,801.50