Finding the Third Proportional to 32,013 and 69,849

Step by Step Solution

1. Step 1: Write the proportion equation
   32,013 : 69,849 = 69,849 : x
2. Step 2: Convert to fraction form
   32,013/69,849 = 69,849/x
3. Step 3: Cross multiply
   32,013x = 69,849 × 69,849
4. Step 4: Simplify right side
   32,013x = 4,878,882,801
5. Step 5: Solve for x
   x = 4,878,882,801/32,013
6. Step 6: Final answer
   x = 152,403.17