Finding the Third Proportional to 34,886 and 74,128

Step by Step Solution

1. Step 1: Write the proportion equation
   34,886 : 74,128 = 74,128 : x
2. Step 2: Convert to fraction form
   34,886/74,128 = 74,128/x
3. Step 3: Cross multiply
   34,886x = 74,128 × 74,128
4. Step 4: Simplify right side
   34,886x = 5,494,960,384
5. Step 5: Solve for x
   x = 5,494,960,384/34,886
6. Step 6: Final answer
   x = 157,511.91