Finding the Third Proportional to 10,381.50 and 16,583.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,381.50 : 16,583.06 = 16,583.06 : x
2. Step 2: Convert to fraction form
   10,381.50/16,583.06 = 16,583.06/x
3. Step 3: Cross multiply
   10,381.50x = 16,583.06 × 16,583.06
4. Step 4: Simplify right side
   10,381.50x = 274,997,961.88
5. Step 5: Solve for x
   x = 274,997,961.88/10,381.50
6. Step 6: Final answer
   x = 26,489.23