Finding the Third Proportional to 37,236 and 78,672

Step by Step Solution

1. Step 1: Write the proportion equation
   37,236 : 78,672 = 78,672 : x
2. Step 2: Convert to fraction form
   37,236/78,672 = 78,672/x
3. Step 3: Cross multiply
   37,236x = 78,672 × 78,672
4. Step 4: Simplify right side
   37,236x = 6,189,283,584
5. Step 5: Solve for x
   x = 6,189,283,584/37,236
6. Step 6: Final answer
   x = 166,217.74