Finding the Third Proportional to 21,496 and 40,784

Step by Step Solution

1. Step 1: Write the proportion equation
   21,496 : 40,784 = 40,784 : x
2. Step 2: Convert to fraction form
   21,496/40,784 = 40,784/x
3. Step 3: Cross multiply
   21,496x = 40,784 × 40,784
4. Step 4: Simplify right side
   21,496x = 1,663,334,656
5. Step 5: Solve for x
   x = 1,663,334,656/21,496
6. Step 6: Final answer
   x = 77,378.80