Finding the Third Proportional to 32,159 and 69,685

Step by Step Solution

1. Step 1: Write the proportion equation
   32,159 : 69,685 = 69,685 : x
2. Step 2: Convert to fraction form
   32,159/69,685 = 69,685/x
3. Step 3: Cross multiply
   32,159x = 69,685 × 69,685
4. Step 4: Simplify right side
   32,159x = 4,855,999,225
5. Step 5: Solve for x
   x = 4,855,999,225/32,159
6. Step 6: Final answer
   x = 150,999.70