Finding the Third Proportional to 19,096 and 28,646

Step by Step Solution

1. Step 1: Write the proportion equation
   19,096 : 28,646 = 28,646 : x
2. Step 2: Convert to fraction form
   19,096/28,646 = 28,646/x
3. Step 3: Cross multiply
   19,096x = 28,646 × 28,646
4. Step 4: Simplify right side
   19,096x = 820,593,316
5. Step 5: Solve for x
   x = 820,593,316/19,096
6. Step 6: Final answer
   x = 42,972.00