Finding the Third Proportional to 37,553 and 76,143

Step by Step Solution

1. Step 1: Write the proportion equation
   37,553 : 76,143 = 76,143 : x
2. Step 2: Convert to fraction form
   37,553/76,143 = 76,143/x
3. Step 3: Cross multiply
   37,553x = 76,143 × 76,143
4. Step 4: Simplify right side
   37,553x = 5,797,756,449
5. Step 5: Solve for x
   x = 5,797,756,449/37,553
6. Step 6: Final answer
   x = 154,388.64