Finding the Third Proportional to 5,994 and 12,595.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,994 : 12,595.50 = 12,595.50 : x
2. Step 2: Convert to fraction form
   5,994/12,595.50 = 12,595.50/x
3. Step 3: Cross multiply
   5,994x = 12,595.50 × 12,595.50
4. Step 4: Simplify right side
   5,994x = 158,646,620.25
5. Step 5: Solve for x
   x = 158,646,620.25/5,994
6. Step 6: Final answer
   x = 26,467.57