Finding the Third Proportional to 19,218 and 39,736.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,218 : 39,736.50 = 39,736.50 : x
2. Step 2: Convert to fraction form
   19,218/39,736.50 = 39,736.50/x
3. Step 3: Cross multiply
   19,218x = 39,736.50 × 39,736.50
4. Step 4: Simplify right side
   19,218x = 1,578,989,432.25
5. Step 5: Solve for x
   x = 1,578,989,432.25/19,218
6. Step 6: Final answer
   x = 82,162.01