Finding the Third Proportional to 47,007 and 72,821

Step by Step Solution

1. Step 1: Write the proportion equation
   47,007 : 72,821 = 72,821 : x
2. Step 2: Convert to fraction form
   47,007/72,821 = 72,821/x
3. Step 3: Cross multiply
   47,007x = 72,821 × 72,821
4. Step 4: Simplify right side
   47,007x = 5,302,898,041
5. Step 5: Solve for x
   x = 5,302,898,041/47,007
6. Step 6: Final answer
   x = 112,810.82