Finding the Third Proportional to 10,256.63 and 18,381.94

Step by Step Solution

1. Step 1: Write the proportion equation
   10,256.63 : 18,381.94 = 18,381.94 : x
2. Step 2: Convert to fraction form
   10,256.63/18,381.94 = 18,381.94/x
3. Step 3: Cross multiply
   10,256.63x = 18,381.94 × 18,381.94
4. Step 4: Simplify right side
   10,256.63x = 337,895,626.25
5. Step 5: Solve for x
   x = 337,895,626.25/10,256.63
6. Step 6: Final answer
   x = 32,944.13