Finding the Third Proportional to 32,164 and 69,691

Step by Step Solution

1. Step 1: Write the proportion equation
   32,164 : 69,691 = 69,691 : x
2. Step 2: Convert to fraction form
   32,164/69,691 = 69,691/x
3. Step 3: Cross multiply
   32,164x = 69,691 × 69,691
4. Step 4: Simplify right side
   32,164x = 4,856,835,481
5. Step 5: Solve for x
   x = 4,856,835,481/32,164
6. Step 6: Final answer
   x = 151,002.22