Finding the Third Proportional to 17,823 and 38,681.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,823 : 38,681.50 = 38,681.50 : x
2. Step 2: Convert to fraction form
   17,823/38,681.50 = 38,681.50/x
3. Step 3: Cross multiply
   17,823x = 38,681.50 × 38,681.50
4. Step 4: Simplify right side
   17,823x = 1,496,258,442.25
5. Step 5: Solve for x
   x = 1,496,258,442.25/17,823
6. Step 6: Final answer
   x = 83,950.99