Finding the Third Proportional to 10,337.63 and 13,896.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,337.63 : 13,896.56 = 13,896.56 : x
2. Step 2: Convert to fraction form
   10,337.63/13,896.56 = 13,896.56/x
3. Step 3: Cross multiply
   10,337.63x = 13,896.56 × 13,896.56
4. Step 4: Simplify right side
   10,337.63x = 193,114,449.32
5. Step 5: Solve for x
   x = 193,114,449.32/10,337.63
6. Step 6: Final answer
   x = 18,680.74