Finding the Third Proportional to 32,109 and 69,780

Step by Step Solution

1. Step 1: Write the proportion equation
   32,109 : 69,780 = 69,780 : x
2. Step 2: Convert to fraction form
   32,109/69,780 = 69,780/x
3. Step 3: Cross multiply
   32,109x = 69,780 × 69,780
4. Step 4: Simplify right side
   32,109x = 4,869,248,400
5. Step 5: Solve for x
   x = 4,869,248,400/32,109
6. Step 6: Final answer
   x = 151,647.46