Finding the Third Proportional to 37,777.50 and 44,014.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,777.50 : 44,014.50 = 44,014.50 : x
2. Step 2: Convert to fraction form
   37,777.50/44,014.50 = 44,014.50/x
3. Step 3: Cross multiply
   37,777.50x = 44,014.50 × 44,014.50
4. Step 4: Simplify right side
   37,777.50x = 1,937,276,210.25
5. Step 5: Solve for x
   x = 1,937,276,210.25/37,777.50
6. Step 6: Final answer
   x = 51,281.22