Finding the Third Proportional to 35,666 and 77,092

Step by Step Solution

1. Step 1: Write the proportion equation
   35,666 : 77,092 = 77,092 : x
2. Step 2: Convert to fraction form
   35,666/77,092 = 77,092/x
3. Step 3: Cross multiply
   35,666x = 77,092 × 77,092
4. Step 4: Simplify right side
   35,666x = 5,943,176,464
5. Step 5: Solve for x
   x = 5,943,176,464/35,666
6. Step 6: Final answer
   x = 166,634.23