Finding the Third Proportional to 19,742 and 43,174.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,742 : 43,174.50 = 43,174.50 : x
2. Step 2: Convert to fraction form
   19,742/43,174.50 = 43,174.50/x
3. Step 3: Cross multiply
   19,742x = 43,174.50 × 43,174.50
4. Step 4: Simplify right side
   19,742x = 1,864,037,450.25
5. Step 5: Solve for x
   x = 1,864,037,450.25/19,742
6. Step 6: Final answer
   x = 94,419.89