Finding the Third Proportional to 19,776 and 42,624

Step by Step Solution

1. Step 1: Write the proportion equation
   19,776 : 42,624 = 42,624 : x
2. Step 2: Convert to fraction form
   19,776/42,624 = 42,624/x
3. Step 3: Cross multiply
   19,776x = 42,624 × 42,624
4. Step 4: Simplify right side
   19,776x = 1,816,805,376
5. Step 5: Solve for x
   x = 1,816,805,376/19,776
6. Step 6: Final answer
   x = 91,869.20