Finding the Third Proportional to 37,264 and 78,832

Step by Step Solution

1. Step 1: Write the proportion equation
   37,264 : 78,832 = 78,832 : x
2. Step 2: Convert to fraction form
   37,264/78,832 = 78,832/x
3. Step 3: Cross multiply
   37,264x = 78,832 × 78,832
4. Step 4: Simplify right side
   37,264x = 6,214,484,224
5. Step 5: Solve for x
   x = 6,214,484,224/37,264
6. Step 6: Final answer
   x = 166,769.11