Finding the Third Proportional to 14,316 and 31,538

Step by Step Solution

1. Step 1: Write the proportion equation
   14,316 : 31,538 = 31,538 : x
2. Step 2: Convert to fraction form
   14,316/31,538 = 31,538/x
3. Step 3: Cross multiply
   14,316x = 31,538 × 31,538
4. Step 4: Simplify right side
   14,316x = 994,645,444
5. Step 5: Solve for x
   x = 994,645,444/14,316
6. Step 6: Final answer
   x = 69,477.89