Finding the Third Proportional to 31,113 and 47,823

Step by Step Solution

1. Step 1: Write the proportion equation
   31,113 : 47,823 = 47,823 : x
2. Step 2: Convert to fraction form
   31,113/47,823 = 47,823/x
3. Step 3: Cross multiply
   31,113x = 47,823 × 47,823
4. Step 4: Simplify right side
   31,113x = 2,287,039,329
5. Step 5: Solve for x
   x = 2,287,039,329/31,113
6. Step 6: Final answer
   x = 73,507.52