Finding the Third Proportional to 13,636 and 31,810

Step by Step Solution

1. Step 1: Write the proportion equation
   13,636 : 31,810 = 31,810 : x
2. Step 2: Convert to fraction form
   13,636/31,810 = 31,810/x
3. Step 3: Cross multiply
   13,636x = 31,810 × 31,810
4. Step 4: Simplify right side
   13,636x = 1,011,876,100
5. Step 5: Solve for x
   x = 1,011,876,100/13,636
6. Step 6: Final answer
   x = 74,206.23