Finding the Third Proportional to 5,899.50 and 12,784.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,899.50 : 12,784.50 = 12,784.50 : x
2. Step 2: Convert to fraction form
   5,899.50/12,784.50 = 12,784.50/x
3. Step 3: Cross multiply
   5,899.50x = 12,784.50 × 12,784.50
4. Step 4: Simplify right side
   5,899.50x = 163,443,440.25
5. Step 5: Solve for x
   x = 163,443,440.25/5,899.50
6. Step 6: Final answer
   x = 27,704.63