Finding the Third Proportional to 19,547 and 42,238

Step by Step Solution

1. Step 1: Write the proportion equation
   19,547 : 42,238 = 42,238 : x
2. Step 2: Convert to fraction form
   19,547/42,238 = 42,238/x
3. Step 3: Cross multiply
   19,547x = 42,238 × 42,238
4. Step 4: Simplify right side
   19,547x = 1,784,048,644
5. Step 5: Solve for x
   x = 1,784,048,644/19,547
6. Step 6: Final answer
   x = 91,269.69