Finding the Third Proportional to 37,417.50 and 40,878

Step by Step Solution

1. Step 1: Write the proportion equation
   37,417.50 : 40,878 = 40,878 : x
2. Step 2: Convert to fraction form
   37,417.50/40,878 = 40,878/x
3. Step 3: Cross multiply
   37,417.50x = 40,878 × 40,878
4. Step 4: Simplify right side
   37,417.50x = 1,671,010,884
5. Step 5: Solve for x
   x = 1,671,010,884/37,417.50
6. Step 6: Final answer
   x = 44,658.54