Finding the Third Proportional to 32,144 and 69,817

Step by Step Solution

1. Step 1: Write the proportion equation
   32,144 : 69,817 = 69,817 : x
2. Step 2: Convert to fraction form
   32,144/69,817 = 69,817/x
3. Step 3: Cross multiply
   32,144x = 69,817 × 69,817
4. Step 4: Simplify right side
   32,144x = 4,874,413,489
5. Step 5: Solve for x
   x = 4,874,413,489/32,144
6. Step 6: Final answer
   x = 151,643.03