Finding the Third Proportional to 5,880 and 12,607.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,880 : 12,607.50 = 12,607.50 : x
2. Step 2: Convert to fraction form
   5,880/12,607.50 = 12,607.50/x
3. Step 3: Cross multiply
   5,880x = 12,607.50 × 12,607.50
4. Step 4: Simplify right side
   5,880x = 158,949,056.25
5. Step 5: Solve for x
   x = 158,949,056.25/5,880
6. Step 6: Final answer
   x = 27,032.15