Finding the Third Proportional to 37,633.50 and 44,113.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,633.50 : 44,113.50 = 44,113.50 : x
2. Step 2: Convert to fraction form
   37,633.50/44,113.50 = 44,113.50/x
3. Step 3: Cross multiply
   37,633.50x = 44,113.50 × 44,113.50
4. Step 4: Simplify right side
   37,633.50x = 1,946,000,882.25
5. Step 5: Solve for x
   x = 1,946,000,882.25/37,633.50
6. Step 6: Final answer
   x = 51,709.27