Finding the Third Proportional to 35,991 and 78,978.38

Step by Step Solution

1. Step 1: Write the proportion equation
   35,991 : 78,978.38 = 78,978.38 : x
2. Step 2: Convert to fraction form
   35,991/78,978.38 = 78,978.38/x
3. Step 3: Cross multiply
   35,991x = 78,978.38 × 78,978.38
4. Step 4: Simplify right side
   35,991x = 6,237,583,717.64
5. Step 5: Solve for x
   x = 6,237,583,717.64/35,991
6. Step 6: Final answer
   x = 173,309.54