Finding the Third Proportional to 42,898 and 65,623

Step by Step Solution

1. Step 1: Write the proportion equation
   42,898 : 65,623 = 65,623 : x
2. Step 2: Convert to fraction form
   42,898/65,623 = 65,623/x
3. Step 3: Cross multiply
   42,898x = 65,623 × 65,623
4. Step 4: Simplify right side
   42,898x = 4,306,378,129
5. Step 5: Solve for x
   x = 4,306,378,129/42,898
6. Step 6: Final answer
   x = 100,386.45