Finding the Third Proportional to 32,840 and 70,456

Step by Step Solution

1. Step 1: Write the proportion equation
   32,840 : 70,456 = 70,456 : x
2. Step 2: Convert to fraction form
   32,840/70,456 = 70,456/x
3. Step 3: Cross multiply
   32,840x = 70,456 × 70,456
4. Step 4: Simplify right side
   32,840x = 4,964,047,936
5. Step 5: Solve for x
   x = 4,964,047,936/32,840
6. Step 6: Final answer
   x = 151,158.59