Finding the Third Proportional to 37,756 and 83,558

Step by Step Solution

1. Step 1: Write the proportion equation
   37,756 : 83,558 = 83,558 : x
2. Step 2: Convert to fraction form
   37,756/83,558 = 83,558/x
3. Step 3: Cross multiply
   37,756x = 83,558 × 83,558
4. Step 4: Simplify right side
   37,756x = 6,981,939,364
5. Step 5: Solve for x
   x = 6,981,939,364/37,756
6. Step 6: Final answer
   x = 184,922.64