Finding the Third Proportional to 32,553 and 71,072

Step by Step Solution

1. Step 1: Write the proportion equation
   32,553 : 71,072 = 71,072 : x
2. Step 2: Convert to fraction form
   32,553/71,072 = 71,072/x
3. Step 3: Cross multiply
   32,553x = 71,072 × 71,072
4. Step 4: Simplify right side
   32,553x = 5,051,229,184
5. Step 5: Solve for x
   x = 5,051,229,184/32,553
6. Step 6: Final answer
   x = 155,169.39