Finding the Third Proportional to 31,886 and 70,210

Step by Step Solution

1. Step 1: Write the proportion equation
   31,886 : 70,210 = 70,210 : x
2. Step 2: Convert to fraction form
   31,886/70,210 = 70,210/x
3. Step 3: Cross multiply
   31,886x = 70,210 × 70,210
4. Step 4: Simplify right side
   31,886x = 4,929,444,100
5. Step 5: Solve for x
   x = 4,929,444,100/31,886
6. Step 6: Final answer
   x = 154,595.88