Finding the Third Proportional to 39,698 and 59,007

Step by Step Solution

1. Step 1: Write the proportion equation
   39,698 : 59,007 = 59,007 : x
2. Step 2: Convert to fraction form
   39,698/59,007 = 59,007/x
3. Step 3: Cross multiply
   39,698x = 59,007 × 59,007
4. Step 4: Simplify right side
   39,698x = 3,481,826,049
5. Step 5: Solve for x
   x = 3,481,826,049/39,698
6. Step 6: Final answer
   x = 87,707.85