Finding the Third Proportional to 40,878 and 61,519.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,878 : 61,519.50 = 61,519.50 : x
2. Step 2: Convert to fraction form
   40,878/61,519.50 = 61,519.50/x
3. Step 3: Cross multiply
   40,878x = 61,519.50 × 61,519.50
4. Step 4: Simplify right side
   40,878x = 3,784,648,880.25
5. Step 5: Solve for x
   x = 3,784,648,880.25/40,878
6. Step 6: Final answer
   x = 92,584.00