Finding the Third Proportional to 32,171 and 69,688

Step by Step Solution

1. Step 1: Write the proportion equation
   32,171 : 69,688 = 69,688 : x
2. Step 2: Convert to fraction form
   32,171/69,688 = 69,688/x
3. Step 3: Cross multiply
   32,171x = 69,688 × 69,688
4. Step 4: Simplify right side
   32,171x = 4,856,417,344
5. Step 5: Solve for x
   x = 4,856,417,344/32,171
6. Step 6: Final answer
   x = 150,956.37