Finding the Third Proportional to 31,585 and 49,222.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,585 : 49,222.50 = 49,222.50 : x
2. Step 2: Convert to fraction form
   31,585/49,222.50 = 49,222.50/x
3. Step 3: Cross multiply
   31,585x = 49,222.50 × 49,222.50
4. Step 4: Simplify right side
   31,585x = 2,422,854,506.25
5. Step 5: Solve for x
   x = 2,422,854,506.25/31,585
6. Step 6: Final answer
   x = 76,709.02