Finding the Third Proportional to 9,100 and 18,434

Step by Step Solution

1. Step 1: Write the proportion equation
   9,100 : 18,434 = 18,434 : x
2. Step 2: Convert to fraction form
   9,100/18,434 = 18,434/x
3. Step 3: Cross multiply
   9,100x = 18,434 × 18,434
4. Step 4: Simplify right side
   9,100x = 339,812,356
5. Step 5: Solve for x
   x = 339,812,356/9,100
6. Step 6: Final answer
   x = 37,342.02