Finding the Third Proportional to 19,820 and 30,699

Step by Step Solution

1. Step 1: Write the proportion equation
   19,820 : 30,699 = 30,699 : x
2. Step 2: Convert to fraction form
   19,820/30,699 = 30,699/x
3. Step 3: Cross multiply
   19,820x = 30,699 × 30,699
4. Step 4: Simplify right side
   19,820x = 942,428,601
5. Step 5: Solve for x
   x = 942,428,601/19,820
6. Step 6: Final answer
   x = 47,549.37