Finding the Third Proportional to 2,381.63 and 3,663.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,381.63 : 3,663.56 = 3,663.56 : x
2. Step 2: Convert to fraction form
   2,381.63/3,663.56 = 3,663.56/x
3. Step 3: Cross multiply
   2,381.63x = 3,663.56 × 3,663.56
4. Step 4: Simplify right side
   2,381.63x = 13,421,690.19
5. Step 5: Solve for x
   x = 13,421,690.19/2,381.63
6. Step 6: Final answer
   x = 5,635.52