Finding the Third Proportional to 33,782.25 and 72,484.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,782.25 : 72,484.50 = 72,484.50 : x
2. Step 2: Convert to fraction form
   33,782.25/72,484.50 = 72,484.50/x
3. Step 3: Cross multiply
   33,782.25x = 72,484.50 × 72,484.50
4. Step 4: Simplify right side
   33,782.25x = 5,254,002,740.25
5. Step 5: Solve for x
   x = 5,254,002,740.25/33,782.25
6. Step 6: Final answer
   x = 155,525.54