Finding the Third Proportional to 5,947.50 and 14,090.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,947.50 : 14,090.25 = 14,090.25 : x
2. Step 2: Convert to fraction form
   5,947.50/14,090.25 = 14,090.25/x
3. Step 3: Cross multiply
   5,947.50x = 14,090.25 × 14,090.25
4. Step 4: Simplify right side
   5,947.50x = 198,535,145.06
5. Step 5: Solve for x
   x = 198,535,145.06/5,947.50
6. Step 6: Final answer
   x = 33,381.28