Finding the Third Proportional to 32,760 and 50,358

Step by Step Solution

1. Step 1: Write the proportion equation
   32,760 : 50,358 = 50,358 : x
2. Step 2: Convert to fraction form
   32,760/50,358 = 50,358/x
3. Step 3: Cross multiply
   32,760x = 50,358 × 50,358
4. Step 4: Simplify right side
   32,760x = 2,535,928,164
5. Step 5: Solve for x
   x = 2,535,928,164/32,760
6. Step 6: Final answer
   x = 77,409.28