Finding the Third Proportional to 19,148.50 and 27,579.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,148.50 : 27,579.50 = 27,579.50 : x
2. Step 2: Convert to fraction form
   19,148.50/27,579.50 = 27,579.50/x
3. Step 3: Cross multiply
   19,148.50x = 27,579.50 × 27,579.50
4. Step 4: Simplify right side
   19,148.50x = 760,628,820.25
5. Step 5: Solve for x
   x = 760,628,820.25/19,148.50
6. Step 6: Final answer
   x = 39,722.63