Finding the Third Proportional to 17,815.50 and 38,119.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,815.50 : 38,119.50 = 38,119.50 : x
2. Step 2: Convert to fraction form
   17,815.50/38,119.50 = 38,119.50/x
3. Step 3: Cross multiply
   17,815.50x = 38,119.50 × 38,119.50
4. Step 4: Simplify right side
   17,815.50x = 1,453,096,280.25
5. Step 5: Solve for x
   x = 1,453,096,280.25/17,815.50
6. Step 6: Final answer
   x = 81,563.60