Finding the Third Proportional to 12,984 and 27,829.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,984 : 27,829.50 = 27,829.50 : x
2. Step 2: Convert to fraction form
   12,984/27,829.50 = 27,829.50/x
3. Step 3: Cross multiply
   12,984x = 27,829.50 × 27,829.50
4. Step 4: Simplify right side
   12,984x = 774,481,070.25
5. Step 5: Solve for x
   x = 774,481,070.25/12,984
6. Step 6: Final answer
   x = 59,648.88