Finding the Third Proportional to 37,692.38 and 79,259.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,692.38 : 79,259.25 = 79,259.25 : x
2. Step 2: Convert to fraction form
   37,692.38/79,259.25 = 79,259.25/x
3. Step 3: Cross multiply
   37,692.38x = 79,259.25 × 79,259.25
4. Step 4: Simplify right side
   37,692.38x = 6,282,028,710.56
5. Step 5: Solve for x
   x = 6,282,028,710.56/37,692.38
6. Step 6: Final answer
   x = 166,665.77