Finding the Third Proportional to 35,916 and 78,360

Step by Step Solution

1. Step 1: Write the proportion equation
   35,916 : 78,360 = 78,360 : x
2. Step 2: Convert to fraction form
   35,916/78,360 = 78,360/x
3. Step 3: Cross multiply
   35,916x = 78,360 × 78,360
4. Step 4: Simplify right side
   35,916x = 6,140,289,600
5. Step 5: Solve for x
   x = 6,140,289,600/35,916
6. Step 6: Final answer
   x = 170,962.51