Finding the Third Proportional to 13,196 and 31,536

Step by Step Solution

1. Step 1: Write the proportion equation
   13,196 : 31,536 = 31,536 : x
2. Step 2: Convert to fraction form
   13,196/31,536 = 31,536/x
3. Step 3: Cross multiply
   13,196x = 31,536 × 31,536
4. Step 4: Simplify right side
   13,196x = 994,519,296
5. Step 5: Solve for x
   x = 994,519,296/13,196
6. Step 6: Final answer
   x = 75,365.21