Finding the Third Proportional to 35,811.50 and 77,208.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,811.50 : 77,208.50 = 77,208.50 : x
2. Step 2: Convert to fraction form
   35,811.50/77,208.50 = 77,208.50/x
3. Step 3: Cross multiply
   35,811.50x = 77,208.50 × 77,208.50
4. Step 4: Simplify right side
   35,811.50x = 5,961,152,472.25
5. Step 5: Solve for x
   x = 5,961,152,472.25/35,811.50
6. Step 6: Final answer
   x = 166,459.17