Finding the Third Proportional to 13,174 and 31,748

Step by Step Solution

1. Step 1: Write the proportion equation
   13,174 : 31,748 = 31,748 : x
2. Step 2: Convert to fraction form
   13,174/31,748 = 31,748/x
3. Step 3: Cross multiply
   13,174x = 31,748 × 31,748
4. Step 4: Simplify right side
   13,174x = 1,007,935,504
5. Step 5: Solve for x
   x = 1,007,935,504/13,174
6. Step 6: Final answer
   x = 76,509.45