Finding the Third Proportional to 32,076 and 72,252

Step by Step Solution

1. Step 1: Write the proportion equation
   32,076 : 72,252 = 72,252 : x
2. Step 2: Convert to fraction form
   32,076/72,252 = 72,252/x
3. Step 3: Cross multiply
   32,076x = 72,252 × 72,252
4. Step 4: Simplify right side
   32,076x = 5,220,351,504
5. Step 5: Solve for x
   x = 5,220,351,504/32,076
6. Step 6: Final answer
   x = 162,749.45