Finding the Third Proportional to 5,994 and 7,870.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,994 : 7,870.50 = 7,870.50 : x
2. Step 2: Convert to fraction form
   5,994/7,870.50 = 7,870.50/x
3. Step 3: Cross multiply
   5,994x = 7,870.50 × 7,870.50
4. Step 4: Simplify right side
   5,994x = 61,944,770.25
5. Step 5: Solve for x
   x = 61,944,770.25/5,994
6. Step 6: Final answer
   x = 10,334.46