Finding the Third Proportional to 5,594 and 12,965

Step by Step Solution

1. Step 1: Write the proportion equation
   5,594 : 12,965 = 12,965 : x
2. Step 2: Convert to fraction form
   5,594/12,965 = 12,965/x
3. Step 3: Cross multiply
   5,594x = 12,965 × 12,965
4. Step 4: Simplify right side
   5,594x = 168,091,225
5. Step 5: Solve for x
   x = 168,091,225/5,594
6. Step 6: Final answer
   x = 30,048.48