Finding the Third Proportional to 32,778 and 71,106

Step by Step Solution

1. Step 1: Write the proportion equation
   32,778 : 71,106 = 71,106 : x
2. Step 2: Convert to fraction form
   32,778/71,106 = 71,106/x
3. Step 3: Cross multiply
   32,778x = 71,106 × 71,106
4. Step 4: Simplify right side
   32,778x = 5,056,063,236
5. Step 5: Solve for x
   x = 5,056,063,236/32,778
6. Step 6: Final answer
   x = 154,251.73