Finding the Third Proportional to 31,765.50 and 44,624.25

Step by Step Solution

1. Step 1: Write the proportion equation
   31,765.50 : 44,624.25 = 44,624.25 : x
2. Step 2: Convert to fraction form
   31,765.50/44,624.25 = 44,624.25/x
3. Step 3: Cross multiply
   31,765.50x = 44,624.25 × 44,624.25
4. Step 4: Simplify right side
   31,765.50x = 1,991,323,688.06
5. Step 5: Solve for x
   x = 1,991,323,688.06/31,765.50
6. Step 6: Final answer
   x = 62,688.25