Finding the Third Proportional to 36,788 and 58,458

Step by Step Solution

1. Step 1: Write the proportion equation
   36,788 : 58,458 = 58,458 : x
2. Step 2: Convert to fraction form
   36,788/58,458 = 58,458/x
3. Step 3: Cross multiply
   36,788x = 58,458 × 58,458
4. Step 4: Simplify right side
   36,788x = 3,417,337,764
5. Step 5: Solve for x
   x = 3,417,337,764/36,788
6. Step 6: Final answer
   x = 92,892.73