Finding the Third Proportional to 19,164 and 31,669.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,164 : 31,669.50 = 31,669.50 : x
2. Step 2: Convert to fraction form
   19,164/31,669.50 = 31,669.50/x
3. Step 3: Cross multiply
   19,164x = 31,669.50 × 31,669.50
4. Step 4: Simplify right side
   19,164x = 1,002,957,230.25
5. Step 5: Solve for x
   x = 1,002,957,230.25/19,164
6. Step 6: Final answer
   x = 52,335.48