Finding the Third Proportional to 5,953.50 and 13,466.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,953.50 : 13,466.25 = 13,466.25 : x
2. Step 2: Convert to fraction form
   5,953.50/13,466.25 = 13,466.25/x
3. Step 3: Cross multiply
   5,953.50x = 13,466.25 × 13,466.25
4. Step 4: Simplify right side
   5,953.50x = 181,339,889.06
5. Step 5: Solve for x
   x = 181,339,889.06/5,953.50
6. Step 6: Final answer
   x = 30,459.38