Finding the Third Proportional to 5,953.50 and 9,090.56

Step by Step Solution

1. Step 1: Write the proportion equation
   5,953.50 : 9,090.56 = 9,090.56 : x
2. Step 2: Convert to fraction form
   5,953.50/9,090.56 = 9,090.56/x
3. Step 3: Cross multiply
   5,953.50x = 9,090.56 × 9,090.56
4. Step 4: Simplify right side
   5,953.50x = 82,638,326.57
5. Step 5: Solve for x
   x = 82,638,326.57/5,953.50
6. Step 6: Final answer
   x = 13,880.63