Finding the Third Proportional to 32,298 and 69,524

Step by Step Solution

1. Step 1: Write the proportion equation
   32,298 : 69,524 = 69,524 : x
2. Step 2: Convert to fraction form
   32,298/69,524 = 69,524/x
3. Step 3: Cross multiply
   32,298x = 69,524 × 69,524
4. Step 4: Simplify right side
   32,298x = 4,833,586,576
5. Step 5: Solve for x
   x = 4,833,586,576/32,298
6. Step 6: Final answer
   x = 149,655.91