Finding the Third Proportional to 19,784 and 42,640

Step by Step Solution

1. Step 1: Write the proportion equation
   19,784 : 42,640 = 42,640 : x
2. Step 2: Convert to fraction form
   19,784/42,640 = 42,640/x
3. Step 3: Cross multiply
   19,784x = 42,640 × 42,640
4. Step 4: Simplify right side
   19,784x = 1,818,169,600
5. Step 5: Solve for x
   x = 1,818,169,600/19,784
6. Step 6: Final answer
   x = 91,901.01