Finding the Third Proportional to 10,594 and 23,965

Step by Step Solution

1. Step 1: Write the proportion equation
   10,594 : 23,965 = 23,965 : x
2. Step 2: Convert to fraction form
   10,594/23,965 = 23,965/x
3. Step 3: Cross multiply
   10,594x = 23,965 × 23,965
4. Step 4: Simplify right side
   10,594x = 574,321,225
5. Step 5: Solve for x
   x = 574,321,225/10,594
6. Step 6: Final answer
   x = 54,211.93