Finding the Third Proportional to 31,196 and 47,998

Step by Step Solution

1. Step 1: Write the proportion equation
   31,196 : 47,998 = 47,998 : x
2. Step 2: Convert to fraction form
   31,196/47,998 = 47,998/x
3. Step 3: Cross multiply
   31,196x = 47,998 × 47,998
4. Step 4: Simplify right side
   31,196x = 2,303,808,004
5. Step 5: Solve for x
   x = 2,303,808,004/31,196
6. Step 6: Final answer
   x = 73,849.47