Finding the Third Proportional to 37,842 and 58,558

Step by Step Solution

1. Step 1: Write the proportion equation
   37,842 : 58,558 = 58,558 : x
2. Step 2: Convert to fraction form
   37,842/58,558 = 58,558/x
3. Step 3: Cross multiply
   37,842x = 58,558 × 58,558
4. Step 4: Simplify right side
   37,842x = 3,429,039,364
5. Step 5: Solve for x
   x = 3,429,039,364/37,842
6. Step 6: Final answer
   x = 90,614.64