Finding the Third Proportional to 37,878 and 56,083.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,878 : 56,083.50 = 56,083.50 : x
2. Step 2: Convert to fraction form
   37,878/56,083.50 = 56,083.50/x
3. Step 3: Cross multiply
   37,878x = 56,083.50 × 56,083.50
4. Step 4: Simplify right side
   37,878x = 3,145,358,972.25
5. Step 5: Solve for x
   x = 3,145,358,972.25/37,878
6. Step 6: Final answer
   x = 83,039.20