Finding the Third Proportional to 37,830 and 55,699

Step by Step Solution

1. Step 1: Write the proportion equation
   37,830 : 55,699 = 55,699 : x
2. Step 2: Convert to fraction form
   37,830/55,699 = 55,699/x
3. Step 3: Cross multiply
   37,830x = 55,699 × 55,699
4. Step 4: Simplify right side
   37,830x = 3,102,378,601
5. Step 5: Solve for x
   x = 3,102,378,601/37,830
6. Step 6: Final answer
   x = 82,008.42