Finding the Third Proportional to 35,334 and 77,309

Step by Step Solution

1. Step 1: Write the proportion equation
   35,334 : 77,309 = 77,309 : x
2. Step 2: Convert to fraction form
   35,334/77,309 = 77,309/x
3. Step 3: Cross multiply
   35,334x = 77,309 × 77,309
4. Step 4: Simplify right side
   35,334x = 5,976,681,481
5. Step 5: Solve for x
   x = 5,976,681,481/35,334
6. Step 6: Final answer
   x = 169,148.17