Finding the Third Proportional to 17,817.50 and 38,488

Step by Step Solution

1. Step 1: Write the proportion equation
   17,817.50 : 38,488 = 38,488 : x
2. Step 2: Convert to fraction form
   17,817.50/38,488 = 38,488/x
3. Step 3: Cross multiply
   17,817.50x = 38,488 × 38,488
4. Step 4: Simplify right side
   17,817.50x = 1,481,326,144
5. Step 5: Solve for x
   x = 1,481,326,144/17,817.50
6. Step 6: Final answer
   x = 83,138.83