Finding the Third Proportional to 32,238 and 70,011

Step by Step Solution

1. Step 1: Write the proportion equation
   32,238 : 70,011 = 70,011 : x
2. Step 2: Convert to fraction form
   32,238/70,011 = 70,011/x
3. Step 3: Cross multiply
   32,238x = 70,011 × 70,011
4. Step 4: Simplify right side
   32,238x = 4,901,540,121
5. Step 5: Solve for x
   x = 4,901,540,121/32,238
6. Step 6: Final answer
   x = 152,042.31