Finding the Third Proportional to 33,294 and 72,055.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,294 : 72,055.50 = 72,055.50 : x
2. Step 2: Convert to fraction form
   33,294/72,055.50 = 72,055.50/x
3. Step 3: Cross multiply
   33,294x = 72,055.50 × 72,055.50
4. Step 4: Simplify right side
   33,294x = 5,191,995,080.25
5. Step 5: Solve for x
   x = 5,191,995,080.25/33,294
6. Step 6: Final answer
   x = 155,943.87