Finding the Third Proportional to 17,819 and 38,462.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,819 : 38,462.50 = 38,462.50 : x
2. Step 2: Convert to fraction form
   17,819/38,462.50 = 38,462.50/x
3. Step 3: Cross multiply
   17,819x = 38,462.50 × 38,462.50
4. Step 4: Simplify right side
   17,819x = 1,479,363,906.25
5. Step 5: Solve for x
   x = 1,479,363,906.25/17,819
6. Step 6: Final answer
   x = 83,021.71