Finding the Third Proportional to 32,434 and 69,870

Step by Step Solution

1. Step 1: Write the proportion equation
   32,434 : 69,870 = 69,870 : x
2. Step 2: Convert to fraction form
   32,434/69,870 = 69,870/x
3. Step 3: Cross multiply
   32,434x = 69,870 × 69,870
4. Step 4: Simplify right side
   32,434x = 4,881,816,900
5. Step 5: Solve for x
   x = 4,881,816,900/32,434
6. Step 6: Final answer
   x = 150,515.41