Finding the Third Proportional to 17,413 and 37,596.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,413 : 37,596.50 = 37,596.50 : x
2. Step 2: Convert to fraction form
   17,413/37,596.50 = 37,596.50/x
3. Step 3: Cross multiply
   17,413x = 37,596.50 × 37,596.50
4. Step 4: Simplify right side
   17,413x = 1,413,496,812.25
5. Step 5: Solve for x
   x = 1,413,496,812.25/17,413
6. Step 6: Final answer
   x = 81,174.80