Finding the Third Proportional to 12,762.56 and 18,698.34

Step by Step Solution

1. Step 1: Write the proportion equation
   12,762.56 : 18,698.34 = 18,698.34 : x
2. Step 2: Convert to fraction form
   12,762.56/18,698.34 = 18,698.34/x
3. Step 3: Cross multiply
   12,762.56x = 18,698.34 × 18,698.34
4. Step 4: Simplify right side
   12,762.56x = 349,628,058.99
5. Step 5: Solve for x
   x = 349,628,058.99/12,762.56
6. Step 6: Final answer
   x = 27,394.82