Finding the Third Proportional to 19,816 and 31,140

Step by Step Solution

1. Step 1: Write the proportion equation
   19,816 : 31,140 = 31,140 : x
2. Step 2: Convert to fraction form
   19,816/31,140 = 31,140/x
3. Step 3: Cross multiply
   19,816x = 31,140 × 31,140
4. Step 4: Simplify right side
   19,816x = 969,699,600
5. Step 5: Solve for x
   x = 969,699,600/19,816
6. Step 6: Final answer
   x = 48,935.18