Finding the Third Proportional to 33,993 and 72,906.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,993 : 72,906.50 = 72,906.50 : x
2. Step 2: Convert to fraction form
   33,993/72,906.50 = 72,906.50/x
3. Step 3: Cross multiply
   33,993x = 72,906.50 × 72,906.50
4. Step 4: Simplify right side
   33,993x = 5,315,357,742.25
5. Step 5: Solve for x
   x = 5,315,357,742.25/33,993
6. Step 6: Final answer
   x = 156,366.24