Finding the Third Proportional to 31,433 and 41,964.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,433 : 41,964.50 = 41,964.50 : x
2. Step 2: Convert to fraction form
   31,433/41,964.50 = 41,964.50/x
3. Step 3: Cross multiply
   31,433x = 41,964.50 × 41,964.50
4. Step 4: Simplify right side
   31,433x = 1,761,019,260.25
5. Step 5: Solve for x
   x = 1,761,019,260.25/31,433
6. Step 6: Final answer
   x = 56,024.54