Finding the Third Proportional to 5,988.38 and 13,199.63

Step by Step Solution

1. Step 1: Write the proportion equation
   5,988.38 : 13,199.63 = 13,199.63 : x
2. Step 2: Convert to fraction form
   5,988.38/13,199.63 = 13,199.63/x
3. Step 3: Cross multiply
   5,988.38x = 13,199.63 × 13,199.63
4. Step 4: Simplify right side
   5,988.38x = 174,230,100.14
5. Step 5: Solve for x
   x = 174,230,100.14/5,988.38
6. Step 6: Final answer
   x = 29,094.72