Finding the Third Proportional to 37,592 and 58,538

Step by Step Solution

1. Step 1: Write the proportion equation
   37,592 : 58,538 = 58,538 : x
2. Step 2: Convert to fraction form
   37,592/58,538 = 58,538/x
3. Step 3: Cross multiply
   37,592x = 58,538 × 58,538
4. Step 4: Simplify right side
   37,592x = 3,426,697,444
5. Step 5: Solve for x
   x = 3,426,697,444/37,592
6. Step 6: Final answer
   x = 91,154.96