Finding the Third Proportional to 37,519 and 58,077

Step by Step Solution

1. Step 1: Write the proportion equation
   37,519 : 58,077 = 58,077 : x
2. Step 2: Convert to fraction form
   37,519/58,077 = 58,077/x
3. Step 3: Cross multiply
   37,519x = 58,077 × 58,077
4. Step 4: Simplify right side
   37,519x = 3,372,937,929
5. Step 5: Solve for x
   x = 3,372,937,929/37,519
6. Step 6: Final answer
   x = 89,899.46