Finding the Third Proportional to 35,808 and 77,310

Step by Step Solution

1. Step 1: Write the proportion equation
   35,808 : 77,310 = 77,310 : x
2. Step 2: Convert to fraction form
   35,808/77,310 = 77,310/x
3. Step 3: Cross multiply
   35,808x = 77,310 × 77,310
4. Step 4: Simplify right side
   35,808x = 5,976,836,100
5. Step 5: Solve for x
   x = 5,976,836,100/35,808
6. Step 6: Final answer
   x = 166,913.43