Finding the Third Proportional to 31,293 and 47,205.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,293 : 47,205.50 = 47,205.50 : x
2. Step 2: Convert to fraction form
   31,293/47,205.50 = 47,205.50/x
3. Step 3: Cross multiply
   31,293x = 47,205.50 × 47,205.50
4. Step 4: Simplify right side
   31,293x = 2,228,359,230.25
5. Step 5: Solve for x
   x = 2,228,359,230.25/31,293
6. Step 6: Final answer
   x = 71,209.51