Finding the Third Proportional to 32,435 and 69,869

Step by Step Solution

1. Step 1: Write the proportion equation
   32,435 : 69,869 = 69,869 : x
2. Step 2: Convert to fraction form
   32,435/69,869 = 69,869/x
3. Step 3: Cross multiply
   32,435x = 69,869 × 69,869
4. Step 4: Simplify right side
   32,435x = 4,881,677,161
5. Step 5: Solve for x
   x = 4,881,677,161/32,435
6. Step 6: Final answer
   x = 150,506.46