Finding the Third Proportional to 35,235 and 77,143.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,235 : 77,143.50 = 77,143.50 : x
2. Step 2: Convert to fraction form
   35,235/77,143.50 = 77,143.50/x
3. Step 3: Cross multiply
   35,235x = 77,143.50 × 77,143.50
4. Step 4: Simplify right side
   35,235x = 5,951,119,592.25
5. Step 5: Solve for x
   x = 5,951,119,592.25/35,235
6. Step 6: Final answer
   x = 168,897.96