Finding the Third Proportional to 31,785 and 44,458.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,785 : 44,458.50 = 44,458.50 : x
2. Step 2: Convert to fraction form
   31,785/44,458.50 = 44,458.50/x
3. Step 3: Cross multiply
   31,785x = 44,458.50 × 44,458.50
4. Step 4: Simplify right side
   31,785x = 1,976,558,222.25
5. Step 5: Solve for x
   x = 1,976,558,222.25/31,785
6. Step 6: Final answer
   x = 62,185.25