Finding the Third Proportional to 12,582 and 19,984.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,582 : 19,984.50 = 19,984.50 : x
2. Step 2: Convert to fraction form
   12,582/19,984.50 = 19,984.50/x
3. Step 3: Cross multiply
   12,582x = 19,984.50 × 19,984.50
4. Step 4: Simplify right side
   12,582x = 399,380,240.25
5. Step 5: Solve for x
   x = 399,380,240.25/12,582
6. Step 6: Final answer
   x = 31,742.19