Finding the Third Proportional to 31,801.50 and 37,633.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,801.50 : 37,633.50 = 37,633.50 : x
2. Step 2: Convert to fraction form
   31,801.50/37,633.50 = 37,633.50/x
3. Step 3: Cross multiply
   31,801.50x = 37,633.50 × 37,633.50
4. Step 4: Simplify right side
   31,801.50x = 1,416,280,322.25
5. Step 5: Solve for x
   x = 1,416,280,322.25/31,801.50
6. Step 6: Final answer
   x = 44,535.02