Finding the Third Proportional to 6,356.81 and 13,748.06

Step by Step Solution

1. Step 1: Write the proportion equation
   6,356.81 : 13,748.06 = 13,748.06 : x
2. Step 2: Convert to fraction form
   6,356.81/13,748.06 = 13,748.06/x
3. Step 3: Cross multiply
   6,356.81x = 13,748.06 × 13,748.06
4. Step 4: Simplify right side
   6,356.81x = 189,009,222.50
5. Step 5: Solve for x
   x = 189,009,222.50/6,356.81
6. Step 6: Final answer
   x = 29,733.33