Finding the Third Proportional to 37,472 and 78,406

Step by Step Solution

1. Step 1: Write the proportion equation
   37,472 : 78,406 = 78,406 : x
2. Step 2: Convert to fraction form
   37,472/78,406 = 78,406/x
3. Step 3: Cross multiply
   37,472x = 78,406 × 78,406
4. Step 4: Simplify right side
   37,472x = 6,147,500,836
5. Step 5: Solve for x
   x = 6,147,500,836/37,472
6. Step 6: Final answer
   x = 164,055.85