Finding the Third Proportional to 33,552 and 78,360

Step by Step Solution

1. Step 1: Write the proportion equation
   33,552 : 78,360 = 78,360 : x
2. Step 2: Convert to fraction form
   33,552/78,360 = 78,360/x
3. Step 3: Cross multiply
   33,552x = 78,360 × 78,360
4. Step 4: Simplify right side
   33,552x = 6,140,289,600
5. Step 5: Solve for x
   x = 6,140,289,600/33,552
6. Step 6: Final answer
   x = 183,008.15