Finding the Third Proportional to 37,296 and 72,699

Step by Step Solution

1. Step 1: Write the proportion equation
   37,296 : 72,699 = 72,699 : x
2. Step 2: Convert to fraction form
   37,296/72,699 = 72,699/x
3. Step 3: Cross multiply
   37,296x = 72,699 × 72,699
4. Step 4: Simplify right side
   37,296x = 5,285,144,601
5. Step 5: Solve for x
   x = 5,285,144,601/37,296
6. Step 6: Final answer
   x = 141,708.08