Finding the Third Proportional to 37,629 and 58,296.38

Step by Step Solution

1. Step 1: Write the proportion equation
   37,629 : 58,296.38 = 58,296.38 : x
2. Step 2: Convert to fraction form
   37,629/58,296.38 = 58,296.38/x
3. Step 3: Cross multiply
   37,629x = 58,296.38 × 58,296.38
4. Step 4: Simplify right side
   37,629x = 3,398,467,338.14
5. Step 5: Solve for x
   x = 3,398,467,338.14/37,629
6. Step 6: Final answer
   x = 90,315.11