Finding the Third Proportional to 19,827 and 30,736.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,827 : 30,736.50 = 30,736.50 : x
2. Step 2: Convert to fraction form
   19,827/30,736.50 = 30,736.50/x
3. Step 3: Cross multiply
   19,827x = 30,736.50 × 30,736.50
4. Step 4: Simplify right side
   19,827x = 944,732,432.25
5. Step 5: Solve for x
   x = 944,732,432.25/19,827
6. Step 6: Final answer
   x = 47,648.78