Finding the Third Proportional to 12,346 and 18,520.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,346 : 18,520.50 = 18,520.50 : x
2. Step 2: Convert to fraction form
   12,346/18,520.50 = 18,520.50/x
3. Step 3: Cross multiply
   12,346x = 18,520.50 × 18,520.50
4. Step 4: Simplify right side
   12,346x = 343,008,920.25
5. Step 5: Solve for x
   x = 343,008,920.25/12,346
6. Step 6: Final answer
   x = 27,783.00