Finding the Third Proportional to 12,408 and 27,583.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,408 : 27,583.50 = 27,583.50 : x
2. Step 2: Convert to fraction form
   12,408/27,583.50 = 27,583.50/x
3. Step 3: Cross multiply
   12,408x = 27,583.50 × 27,583.50
4. Step 4: Simplify right side
   12,408x = 760,849,472.25
5. Step 5: Solve for x
   x = 760,849,472.25/12,408
6. Step 6: Final answer
   x = 61,319.27