Finding the Third Proportional to 19,902 and 27,895.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,902 : 27,895.50 = 27,895.50 : x
2. Step 2: Convert to fraction form
   19,902/27,895.50 = 27,895.50/x
3. Step 3: Cross multiply
   19,902x = 27,895.50 × 27,895.50
4. Step 4: Simplify right side
   19,902x = 778,158,920.25
5. Step 5: Solve for x
   x = 778,158,920.25/19,902
6. Step 6: Final answer
   x = 39,099.53