Finding the Third Proportional to 32,840 and 71,168

Step by Step Solution

1. Step 1: Write the proportion equation
   32,840 : 71,168 = 71,168 : x
2. Step 2: Convert to fraction form
   32,840/71,168 = 71,168/x
3. Step 3: Cross multiply
   32,840x = 71,168 × 71,168
4. Step 4: Simplify right side
   32,840x = 5,064,884,224
5. Step 5: Solve for x
   x = 5,064,884,224/32,840
6. Step 6: Final answer
   x = 154,229.12