Finding the Third Proportional to 37,696 and 78,493

Step by Step Solution

1. Step 1: Write the proportion equation
   37,696 : 78,493 = 78,493 : x
2. Step 2: Convert to fraction form
   37,696/78,493 = 78,493/x
3. Step 3: Cross multiply
   37,696x = 78,493 × 78,493
4. Step 4: Simplify right side
   37,696x = 6,161,151,049
5. Step 5: Solve for x
   x = 6,161,151,049/37,696
6. Step 6: Final answer
   x = 163,443.10