Finding the Third Proportional to 32,276 and 71,077

Step by Step Solution

1. Step 1: Write the proportion equation
   32,276 : 71,077 = 71,077 : x
2. Step 2: Convert to fraction form
   32,276/71,077 = 71,077/x
3. Step 3: Cross multiply
   32,276x = 71,077 × 71,077
4. Step 4: Simplify right side
   32,276x = 5,051,939,929
5. Step 5: Solve for x
   x = 5,051,939,929/32,276
6. Step 6: Final answer
   x = 156,523.11