Finding the Third Proportional to 17,730 and 38,412

Step by Step Solution

1. Step 1: Write the proportion equation
   17,730 : 38,412 = 38,412 : x
2. Step 2: Convert to fraction form
   17,730/38,412 = 38,412/x
3. Step 3: Cross multiply
   17,730x = 38,412 × 38,412
4. Step 4: Simplify right side
   17,730x = 1,475,481,744
5. Step 5: Solve for x
   x = 1,475,481,744/17,730
6. Step 6: Final answer
   x = 83,219.50