Finding the Third Proportional to 35,876 and 78,880.75

Step by Step Solution

1. Step 1: Write the proportion equation
   35,876 : 78,880.75 = 78,880.75 : x
2. Step 2: Convert to fraction form
   35,876/78,880.75 = 78,880.75/x
3. Step 3: Cross multiply
   35,876x = 78,880.75 × 78,880.75
4. Step 4: Simplify right side
   35,876x = 6,222,172,720.56
5. Step 5: Solve for x
   x = 6,222,172,720.56/35,876
6. Step 6: Final answer
   x = 173,435.52