Finding the Third Proportional to 5,950.13 and 13,748.06

Step by Step Solution

1. Step 1: Write the proportion equation
   5,950.13 : 13,748.06 = 13,748.06 : x
2. Step 2: Convert to fraction form
   5,950.13/13,748.06 = 13,748.06/x
3. Step 3: Cross multiply
   5,950.13x = 13,748.06 × 13,748.06
4. Step 4: Simplify right side
   5,950.13x = 189,009,222.50
5. Step 5: Solve for x
   x = 189,009,222.50/5,950.13
6. Step 6: Final answer
   x = 31,765.59