Finding the Third Proportional to 35,842.50 and 77,233.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,842.50 : 77,233.50 = 77,233.50 : x
2. Step 2: Convert to fraction form
   35,842.50/77,233.50 = 77,233.50/x
3. Step 3: Cross multiply
   35,842.50x = 77,233.50 × 77,233.50
4. Step 4: Simplify right side
   35,842.50x = 5,965,013,522.25
5. Step 5: Solve for x
   x = 5,965,013,522.25/35,842.50
6. Step 6: Final answer
   x = 166,422.92