Finding the Third Proportional to 33,584 and 49,906.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,584 : 49,906.50 = 49,906.50 : x
2. Step 2: Convert to fraction form
   33,584/49,906.50 = 49,906.50/x
3. Step 3: Cross multiply
   33,584x = 49,906.50 × 49,906.50
4. Step 4: Simplify right side
   33,584x = 2,490,658,742.25
5. Step 5: Solve for x
   x = 2,490,658,742.25/33,584
6. Step 6: Final answer
   x = 74,162.06