Finding the Third Proportional to 31,770 and 67,842

Step by Step Solution

1. Step 1: Write the proportion equation
   31,770 : 67,842 = 67,842 : x
2. Step 2: Convert to fraction form
   31,770/67,842 = 67,842/x
3. Step 3: Cross multiply
   31,770x = 67,842 × 67,842
4. Step 4: Simplify right side
   31,770x = 4,602,536,964
5. Step 5: Solve for x
   x = 4,602,536,964/31,770
6. Step 6: Final answer
   x = 144,870.54