Finding the Third Proportional to 19,851 and 30,709.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,851 : 30,709.50 = 30,709.50 : x
2. Step 2: Convert to fraction form
   19,851/30,709.50 = 30,709.50/x
3. Step 3: Cross multiply
   19,851x = 30,709.50 × 30,709.50
4. Step 4: Simplify right side
   19,851x = 943,073,390.25
5. Step 5: Solve for x
   x = 943,073,390.25/19,851
6. Step 6: Final answer
   x = 47,507.60