Finding the Third Proportional to 37,827 and 44,023.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,827 : 44,023.50 = 44,023.50 : x
2. Step 2: Convert to fraction form
   37,827/44,023.50 = 44,023.50/x
3. Step 3: Cross multiply
   37,827x = 44,023.50 × 44,023.50
4. Step 4: Simplify right side
   37,827x = 1,938,068,552.25
5. Step 5: Solve for x
   x = 1,938,068,552.25/37,827
6. Step 6: Final answer
   x = 51,235.06