Finding the Third Proportional to 31,519 and 47,933.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,519 : 47,933.50 = 47,933.50 : x
2. Step 2: Convert to fraction form
   31,519/47,933.50 = 47,933.50/x
3. Step 3: Cross multiply
   31,519x = 47,933.50 × 47,933.50
4. Step 4: Simplify right side
   31,519x = 2,297,620,422.25
5. Step 5: Solve for x
   x = 2,297,620,422.25/31,519
6. Step 6: Final answer
   x = 72,896.36