Finding the Third Proportional to 34,882 and 74,684

Step by Step Solution

1. Step 1: Write the proportion equation
   34,882 : 74,684 = 74,684 : x
2. Step 2: Convert to fraction form
   34,882/74,684 = 74,684/x
3. Step 3: Cross multiply
   34,882x = 74,684 × 74,684
4. Step 4: Simplify right side
   34,882x = 5,577,699,856
5. Step 5: Solve for x
   x = 5,577,699,856/34,882
6. Step 6: Final answer
   x = 159,901.95