Finding the Third Proportional to 35,882 and 78,078

Step by Step Solution

1. Step 1: Write the proportion equation
   35,882 : 78,078 = 78,078 : x
2. Step 2: Convert to fraction form
   35,882/78,078 = 78,078/x
3. Step 3: Cross multiply
   35,882x = 78,078 × 78,078
4. Step 4: Simplify right side
   35,882x = 6,096,174,084
5. Step 5: Solve for x
   x = 6,096,174,084/35,882
6. Step 6: Final answer
   x = 169,895.05