Finding the Third Proportional to 37,768 and 74,564

Step by Step Solution

1. Step 1: Write the proportion equation
   37,768 : 74,564 = 74,564 : x
2. Step 2: Convert to fraction form
   37,768/74,564 = 74,564/x
3. Step 3: Cross multiply
   37,768x = 74,564 × 74,564
4. Step 4: Simplify right side
   37,768x = 5,559,790,096
5. Step 5: Solve for x
   x = 5,559,790,096/37,768
6. Step 6: Final answer
   x = 147,209.02