Finding the Third Proportional to 33,977.50 and 72,328.75

Step by Step Solution

1. Step 1: Write the proportion equation
   33,977.50 : 72,328.75 = 72,328.75 : x
2. Step 2: Convert to fraction form
   33,977.50/72,328.75 = 72,328.75/x
3. Step 3: Cross multiply
   33,977.50x = 72,328.75 × 72,328.75
4. Step 4: Simplify right side
   33,977.50x = 5,231,448,076.56
5. Step 5: Solve for x
   x = 5,231,448,076.56/33,977.50
6. Step 6: Final answer
   x = 153,968.01