Finding the Third Proportional to 19,742.25 and 37,665

Step by Step Solution

1. Step 1: Write the proportion equation
   19,742.25 : 37,665 = 37,665 : x
2. Step 2: Convert to fraction form
   19,742.25/37,665 = 37,665/x
3. Step 3: Cross multiply
   19,742.25x = 37,665 × 37,665
4. Step 4: Simplify right side
   19,742.25x = 1,418,652,225
5. Step 5: Solve for x
   x = 1,418,652,225/19,742.25
6. Step 6: Final answer
   x = 71,858.69