Finding the Third Proportional to 32,837 and 71,178

Step by Step Solution

1. Step 1: Write the proportion equation
   32,837 : 71,178 = 71,178 : x
2. Step 2: Convert to fraction form
   32,837/71,178 = 71,178/x
3. Step 3: Cross multiply
   32,837x = 71,178 × 71,178
4. Step 4: Simplify right side
   32,837x = 5,066,307,684
5. Step 5: Solve for x
   x = 5,066,307,684/32,837
6. Step 6: Final answer
   x = 154,286.56