Finding the Third Proportional to 19,376 and 31,848

Step by Step Solution

1. Step 1: Write the proportion equation
   19,376 : 31,848 = 31,848 : x
2. Step 2: Convert to fraction form
   19,376/31,848 = 31,848/x
3. Step 3: Cross multiply
   19,376x = 31,848 × 31,848
4. Step 4: Simplify right side
   19,376x = 1,014,295,104
5. Step 5: Solve for x
   x = 1,014,295,104/19,376
6. Step 6: Final answer
   x = 52,348.01