Finding the Third Proportional to 35,020 and 76,839.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,020 : 76,839.50 = 76,839.50 : x
2. Step 2: Convert to fraction form
   35,020/76,839.50 = 76,839.50/x
3. Step 3: Cross multiply
   35,020x = 76,839.50 × 76,839.50
4. Step 4: Simplify right side
   35,020x = 5,904,308,760.25
5. Step 5: Solve for x
   x = 5,904,308,760.25/35,020
6. Step 6: Final answer
   x = 168,598.19