Finding the Third Proportional to 31,878 and 70,186

Step by Step Solution

1. Step 1: Write the proportion equation
   31,878 : 70,186 = 70,186 : x
2. Step 2: Convert to fraction form
   31,878/70,186 = 70,186/x
3. Step 3: Cross multiply
   31,878x = 70,186 × 70,186
4. Step 4: Simplify right side
   31,878x = 4,926,074,596
5. Step 5: Solve for x
   x = 4,926,074,596/31,878
6. Step 6: Final answer
   x = 154,528.97