Finding the Third Proportional to 32,172 and 70,164

Step by Step Solution

1. Step 1: Write the proportion equation
   32,172 : 70,164 = 70,164 : x
2. Step 2: Convert to fraction form
   32,172/70,164 = 70,164/x
3. Step 3: Cross multiply
   32,172x = 70,164 × 70,164
4. Step 4: Simplify right side
   32,172x = 4,922,986,896
5. Step 5: Solve for x
   x = 4,922,986,896/32,172
6. Step 6: Final answer
   x = 153,020.85