Finding the Third Proportional to 13,710 and 31,677

Step by Step Solution

1. Step 1: Write the proportion equation
   13,710 : 31,677 = 31,677 : x
2. Step 2: Convert to fraction form
   13,710/31,677 = 31,677/x
3. Step 3: Cross multiply
   13,710x = 31,677 × 31,677
4. Step 4: Simplify right side
   13,710x = 1,003,432,329
5. Step 5: Solve for x
   x = 1,003,432,329/13,710
6. Step 6: Final answer
   x = 73,189.81