Finding the Third Proportional to 37,665 and 58,365.56

Step by Step Solution

1. Step 1: Write the proportion equation
   37,665 : 58,365.56 = 58,365.56 : x
2. Step 2: Convert to fraction form
   37,665/58,365.56 = 58,365.56/x
3. Step 3: Cross multiply
   37,665x = 58,365.56 × 58,365.56
4. Step 4: Simplify right side
   37,665x = 3,406,538,885.94
5. Step 5: Solve for x
   x = 3,406,538,885.94/37,665
6. Step 6: Final answer
   x = 90,443.09