Finding the Third Proportional to 38,166 and 77,410

Step by Step Solution

1. Step 1: Write the proportion equation
   38,166 : 77,410 = 77,410 : x
2. Step 2: Convert to fraction form
   38,166/77,410 = 77,410/x
3. Step 3: Cross multiply
   38,166x = 77,410 × 77,410
4. Step 4: Simplify right side
   38,166x = 5,992,308,100
5. Step 5: Solve for x
   x = 5,992,308,100/38,166
6. Step 6: Final answer
   x = 157,006.45