Finding the Third Proportional to 31,857 and 47,797.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,857 : 47,797.50 = 47,797.50 : x
2. Step 2: Convert to fraction form
   31,857/47,797.50 = 47,797.50/x
3. Step 3: Cross multiply
   31,857x = 47,797.50 × 47,797.50
4. Step 4: Simplify right side
   31,857x = 2,284,601,006.25
5. Step 5: Solve for x
   x = 2,284,601,006.25/31,857
6. Step 6: Final answer
   x = 71,714.25