Finding the Third Proportional to 13,501.69 and 31,962.09

Step by Step Solution

1. Step 1: Write the proportion equation
   13,501.69 : 31,962.09 = 31,962.09 : x
2. Step 2: Convert to fraction form
   13,501.69/31,962.09 = 31,962.09/x
3. Step 3: Cross multiply
   13,501.69x = 31,962.09 × 31,962.09
4. Step 4: Simplify right side
   13,501.69x = 1,021,575,436.88
5. Step 5: Solve for x
   x = 1,021,575,436.88/13,501.69
6. Step 6: Final answer
   x = 75,662.80