Finding the Third Proportional to 32,953 and 71,493

Step by Step Solution

1. Step 1: Write the proportion equation
   32,953 : 71,493 = 71,493 : x
2. Step 2: Convert to fraction form
   32,953/71,493 = 71,493/x
3. Step 3: Cross multiply
   32,953x = 71,493 × 71,493
4. Step 4: Simplify right side
   32,953x = 5,111,249,049
5. Step 5: Solve for x
   x = 5,111,249,049/32,953
6. Step 6: Final answer
   x = 155,107.25