Finding the Third Proportional to 37,076 and 76,742

Step by Step Solution

1. Step 1: Write the proportion equation
   37,076 : 76,742 = 76,742 : x
2. Step 2: Convert to fraction form
   37,076/76,742 = 76,742/x
3. Step 3: Cross multiply
   37,076x = 76,742 × 76,742
4. Step 4: Simplify right side
   37,076x = 5,889,334,564
5. Step 5: Solve for x
   x = 5,889,334,564/37,076
6. Step 6: Final answer
   x = 158,844.93