Finding the Third Proportional to 37,746 and 77,132

Step by Step Solution

1. Step 1: Write the proportion equation
   37,746 : 77,132 = 77,132 : x
2. Step 2: Convert to fraction form
   37,746/77,132 = 77,132/x
3. Step 3: Cross multiply
   37,746x = 77,132 × 77,132
4. Step 4: Simplify right side
   37,746x = 5,949,345,424
5. Step 5: Solve for x
   x = 5,949,345,424/37,746
6. Step 6: Final answer
   x = 157,615.26