Finding the Third Proportional to 13,777 and 31,606

Step by Step Solution

1. Step 1: Write the proportion equation
   13,777 : 31,606 = 31,606 : x
2. Step 2: Convert to fraction form
   13,777/31,606 = 31,606/x
3. Step 3: Cross multiply
   13,777x = 31,606 × 31,606
4. Step 4: Simplify right side
   13,777x = 998,939,236
5. Step 5: Solve for x
   x = 998,939,236/13,777
6. Step 6: Final answer
   x = 72,507.75