Finding the Third Proportional to 31,748 and 67,870

Step by Step Solution

1. Step 1: Write the proportion equation
   31,748 : 67,870 = 67,870 : x
2. Step 2: Convert to fraction form
   31,748/67,870 = 67,870/x
3. Step 3: Cross multiply
   31,748x = 67,870 × 67,870
4. Step 4: Simplify right side
   31,748x = 4,606,336,900
5. Step 5: Solve for x
   x = 4,606,336,900/31,748
6. Step 6: Final answer
   x = 145,090.62