Finding the Third Proportional to 32,176 and 70,172

Step by Step Solution

1. Step 1: Write the proportion equation
   32,176 : 70,172 = 70,172 : x
2. Step 2: Convert to fraction form
   32,176/70,172 = 70,172/x
3. Step 3: Cross multiply
   32,176x = 70,172 × 70,172
4. Step 4: Simplify right side
   32,176x = 4,924,109,584
5. Step 5: Solve for x
   x = 4,924,109,584/32,176
6. Step 6: Final answer
   x = 153,036.72