Finding the Third Proportional to 31,315.50 and 47,965.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,315.50 : 47,965.50 = 47,965.50 : x
2. Step 2: Convert to fraction form
   31,315.50/47,965.50 = 47,965.50/x
3. Step 3: Cross multiply
   31,315.50x = 47,965.50 × 47,965.50
4. Step 4: Simplify right side
   31,315.50x = 2,300,689,190.25
5. Step 5: Solve for x
   x = 2,300,689,190.25/31,315.50
6. Step 6: Final answer
   x = 73,468.07