Finding the Third Proportional to 31,334 and 47,993.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,334 : 47,993.50 = 47,993.50 : x
2. Step 2: Convert to fraction form
   31,334/47,993.50 = 47,993.50/x
3. Step 3: Cross multiply
   31,334x = 47,993.50 × 47,993.50
4. Step 4: Simplify right side
   31,334x = 2,303,376,042.25
5. Step 5: Solve for x
   x = 2,303,376,042.25/31,334
6. Step 6: Final answer
   x = 73,510.44