Finding the Third Proportional to 31,941 and 49,027.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,941 : 49,027.50 = 49,027.50 : x
2. Step 2: Convert to fraction form
   31,941/49,027.50 = 49,027.50/x
3. Step 3: Cross multiply
   31,941x = 49,027.50 × 49,027.50
4. Step 4: Simplify right side
   31,941x = 2,403,695,756.25
5. Step 5: Solve for x
   x = 2,403,695,756.25/31,941
6. Step 6: Final answer
   x = 75,254.24