Finding the Third Proportional to 32,914 and 72,074

Step by Step Solution

1. Step 1: Write the proportion equation
   32,914 : 72,074 = 72,074 : x
2. Step 2: Convert to fraction form
   32,914/72,074 = 72,074/x
3. Step 3: Cross multiply
   32,914x = 72,074 × 72,074
4. Step 4: Simplify right side
   32,914x = 5,194,661,476
5. Step 5: Solve for x
   x = 5,194,661,476/32,914
6. Step 6: Final answer
   x = 157,825.29