Finding the Third Proportional to 33,277.25 and 72,695.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,277.25 : 72,695.50 = 72,695.50 : x
2. Step 2: Convert to fraction form
   33,277.25/72,695.50 = 72,695.50/x
3. Step 3: Cross multiply
   33,277.25x = 72,695.50 × 72,695.50
4. Step 4: Simplify right side
   33,277.25x = 5,284,635,720.25
5. Step 5: Solve for x
   x = 5,284,635,720.25/33,277.25
6. Step 6: Final answer
   x = 158,806.26