Finding the Third Proportional to 32,282 and 69,172

Step by Step Solution

1. Step 1: Write the proportion equation
   32,282 : 69,172 = 69,172 : x
2. Step 2: Convert to fraction form
   32,282/69,172 = 69,172/x
3. Step 3: Cross multiply
   32,282x = 69,172 × 69,172
4. Step 4: Simplify right side
   32,282x = 4,784,765,584
5. Step 5: Solve for x
   x = 4,784,765,584/32,282
6. Step 6: Final answer
   x = 148,217.76