Finding the Third Proportional to 13,036 and 31,532

Step by Step Solution

1. Step 1: Write the proportion equation
   13,036 : 31,532 = 31,532 : x
2. Step 2: Convert to fraction form
   13,036/31,532 = 31,532/x
3. Step 3: Cross multiply
   13,036x = 31,532 × 31,532
4. Step 4: Simplify right side
   13,036x = 994,267,024
5. Step 5: Solve for x
   x = 994,267,024/13,036
6. Step 6: Final answer
   x = 76,270.87