Finding the Third Proportional to 12,810 and 27,533.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,810 : 27,533.50 = 27,533.50 : x
2. Step 2: Convert to fraction form
   12,810/27,533.50 = 27,533.50/x
3. Step 3: Cross multiply
   12,810x = 27,533.50 × 27,533.50
4. Step 4: Simplify right side
   12,810x = 758,093,622.25
5. Step 5: Solve for x
   x = 758,093,622.25/12,810
6. Step 6: Final answer
   x = 59,179.83