Finding the Third Proportional to 19,365 and 31,942.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,365 : 31,942.50 = 31,942.50 : x
2. Step 2: Convert to fraction form
   19,365/31,942.50 = 31,942.50/x
3. Step 3: Cross multiply
   19,365x = 31,942.50 × 31,942.50
4. Step 4: Simplify right side
   19,365x = 1,020,323,306.25
5. Step 5: Solve for x
   x = 1,020,323,306.25/19,365
6. Step 6: Final answer
   x = 52,689.04