Finding the Third Proportional to 32,203 and 70,557

Step by Step Solution

1. Step 1: Write the proportion equation
   32,203 : 70,557 = 70,557 : x
2. Step 2: Convert to fraction form
   32,203/70,557 = 70,557/x
3. Step 3: Cross multiply
   32,203x = 70,557 × 70,557
4. Step 4: Simplify right side
   32,203x = 4,978,290,249
5. Step 5: Solve for x
   x = 4,978,290,249/32,203
6. Step 6: Final answer
   x = 154,590.88