Finding the Third Proportional to 37,641 and 56,464.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,641 : 56,464.50 = 56,464.50 : x
2. Step 2: Convert to fraction form
   37,641/56,464.50 = 56,464.50/x
3. Step 3: Cross multiply
   37,641x = 56,464.50 × 56,464.50
4. Step 4: Simplify right side
   37,641x = 3,188,239,760.25
5. Step 5: Solve for x
   x = 3,188,239,760.25/37,641
6. Step 6: Final answer
   x = 84,701.25