Finding the Third Proportional to 19,664 and 42,784

Step by Step Solution

1. Step 1: Write the proportion equation
   19,664 : 42,784 = 42,784 : x
2. Step 2: Convert to fraction form
   19,664/42,784 = 42,784/x
3. Step 3: Cross multiply
   19,664x = 42,784 × 42,784
4. Step 4: Simplify right side
   19,664x = 1,830,470,656
5. Step 5: Solve for x
   x = 1,830,470,656/19,664
6. Step 6: Final answer
   x = 93,087.40