Finding the Third Proportional to 35,773.25 and 77,692.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,773.25 : 77,692.50 = 77,692.50 : x
2. Step 2: Convert to fraction form
   35,773.25/77,692.50 = 77,692.50/x
3. Step 3: Cross multiply
   35,773.25x = 77,692.50 × 77,692.50
4. Step 4: Simplify right side
   35,773.25x = 6,036,124,556.25
5. Step 5: Solve for x
   x = 6,036,124,556.25/35,773.25
6. Step 6: Final answer
   x = 168,732.91