Finding the Third Proportional to 35,609.50 and 77,835.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,609.50 : 77,835.50 = 77,835.50 : x
2. Step 2: Convert to fraction form
   35,609.50/77,835.50 = 77,835.50/x
3. Step 3: Cross multiply
   35,609.50x = 77,835.50 × 77,835.50
4. Step 4: Simplify right side
   35,609.50x = 6,058,365,060.25
5. Step 5: Solve for x
   x = 6,058,365,060.25/35,609.50
6. Step 6: Final answer
   x = 170,133.39