Finding the Third Proportional to 17,730 and 38,583

Step by Step Solution

1. Step 1: Write the proportion equation
   17,730 : 38,583 = 38,583 : x
2. Step 2: Convert to fraction form
   17,730/38,583 = 38,583/x
3. Step 3: Cross multiply
   17,730x = 38,583 × 38,583
4. Step 4: Simplify right side
   17,730x = 1,488,647,889
5. Step 5: Solve for x
   x = 1,488,647,889/17,730
6. Step 6: Final answer
   x = 83,962.09