Finding the Third Proportional to 31,530 and 72,981

Step by Step Solution

1. Step 1: Write the proportion equation
   31,530 : 72,981 = 72,981 : x
2. Step 2: Convert to fraction form
   31,530/72,981 = 72,981/x
3. Step 3: Cross multiply
   31,530x = 72,981 × 72,981
4. Step 4: Simplify right side
   31,530x = 5,326,226,361
5. Step 5: Solve for x
   x = 5,326,226,361/31,530
6. Step 6: Final answer
   x = 168,925.67