Finding the Third Proportional to 33,277.50 and 72,695.81

Step by Step Solution

1. Step 1: Write the proportion equation
   33,277.50 : 72,695.81 = 72,695.81 : x
2. Step 2: Convert to fraction form
   33,277.50/72,695.81 = 72,695.81/x
3. Step 3: Cross multiply
   33,277.50x = 72,695.81 × 72,695.81
4. Step 4: Simplify right side
   33,277.50x = 5,284,681,155.04
5. Step 5: Solve for x
   x = 5,284,681,155.04/33,277.50
6. Step 6: Final answer
   x = 158,806.44