Finding the Third Proportional to 32,396 and 70,168

Step by Step Solution

1. Step 1: Write the proportion equation
   32,396 : 70,168 = 70,168 : x
2. Step 2: Convert to fraction form
   32,396/70,168 = 70,168/x
3. Step 3: Cross multiply
   32,396x = 70,168 × 70,168
4. Step 4: Simplify right side
   32,396x = 4,923,548,224
5. Step 5: Solve for x
   x = 4,923,548,224/32,396
6. Step 6: Final answer
   x = 151,980.13