Finding the Third Proportional to 37,078 and 76,746

Step by Step Solution

1. Step 1: Write the proportion equation
   37,078 : 76,746 = 76,746 : x
2. Step 2: Convert to fraction form
   37,078/76,746 = 76,746/x
3. Step 3: Cross multiply
   37,078x = 76,746 × 76,746
4. Step 4: Simplify right side
   37,078x = 5,889,948,516
5. Step 5: Solve for x
   x = 5,889,948,516/37,078
6. Step 6: Final answer
   x = 158,852.92