Finding the Third Proportional to 37,424 and 73,808

Step by Step Solution

1. Step 1: Write the proportion equation
   37,424 : 73,808 = 73,808 : x
2. Step 2: Convert to fraction form
   37,424/73,808 = 73,808/x
3. Step 3: Cross multiply
   37,424x = 73,808 × 73,808
4. Step 4: Simplify right side
   37,424x = 5,447,620,864
5. Step 5: Solve for x
   x = 5,447,620,864/37,424
6. Step 6: Final answer
   x = 145,564.90