Finding the Third Proportional to 42,016 and 89,588

Step by Step Solution

1. Step 1: Write the proportion equation
   42,016 : 89,588 = 89,588 : x
2. Step 2: Convert to fraction form
   42,016/89,588 = 89,588/x
3. Step 3: Cross multiply
   42,016x = 89,588 × 89,588
4. Step 4: Simplify right side
   42,016x = 8,026,009,744
5. Step 5: Solve for x
   x = 8,026,009,744/42,016
6. Step 6: Final answer
   x = 191,022.70