Finding the Third Proportional to 14,580 and 31,833

Step by Step Solution

1. Step 1: Write the proportion equation
   14,580 : 31,833 = 31,833 : x
2. Step 2: Convert to fraction form
   14,580/31,833 = 31,833/x
3. Step 3: Cross multiply
   14,580x = 31,833 × 31,833
4. Step 4: Simplify right side
   14,580x = 1,013,339,889
5. Step 5: Solve for x
   x = 1,013,339,889/14,580
6. Step 6: Final answer
   x = 69,502.05