Finding the Third Proportional to 19,876 and 27,856.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,876 : 27,856.50 = 27,856.50 : x
2. Step 2: Convert to fraction form
   19,876/27,856.50 = 27,856.50/x
3. Step 3: Cross multiply
   19,876x = 27,856.50 × 27,856.50
4. Step 4: Simplify right side
   19,876x = 775,984,592.25
5. Step 5: Solve for x
   x = 775,984,592.25/19,876
6. Step 6: Final answer
   x = 39,041.29