Finding the Third Proportional to 31,858 and 47,866.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,858 : 47,866.50 = 47,866.50 : x
2. Step 2: Convert to fraction form
   31,858/47,866.50 = 47,866.50/x
3. Step 3: Cross multiply
   31,858x = 47,866.50 × 47,866.50
4. Step 4: Simplify right side
   31,858x = 2,291,201,822.25
5. Step 5: Solve for x
   x = 2,291,201,822.25/31,858
6. Step 6: Final answer
   x = 71,919.20