Finding the Third Proportional to 32,853 and 70,074

Step by Step Solution

1. Step 1: Write the proportion equation
   32,853 : 70,074 = 70,074 : x
2. Step 2: Convert to fraction form
   32,853/70,074 = 70,074/x
3. Step 3: Cross multiply
   32,853x = 70,074 × 70,074
4. Step 4: Simplify right side
   32,853x = 4,910,365,476
5. Step 5: Solve for x
   x = 4,910,365,476/32,853
6. Step 6: Final answer
   x = 149,464.75