Finding the Third Proportional to 19,740 and 42,324

Step by Step Solution

1. Step 1: Write the proportion equation
   19,740 : 42,324 = 42,324 : x
2. Step 2: Convert to fraction form
   19,740/42,324 = 42,324/x
3. Step 3: Cross multiply
   19,740x = 42,324 × 42,324
4. Step 4: Simplify right side
   19,740x = 1,791,320,976
5. Step 5: Solve for x
   x = 1,791,320,976/19,740
6. Step 6: Final answer
   x = 90,745.74