Finding the Third Proportional to 37,068 and 57,338

Step by Step Solution

1. Step 1: Write the proportion equation
   37,068 : 57,338 = 57,338 : x
2. Step 2: Convert to fraction form
   37,068/57,338 = 57,338/x
3. Step 3: Cross multiply
   37,068x = 57,338 × 57,338
4. Step 4: Simplify right side
   37,068x = 3,287,646,244
5. Step 5: Solve for x
   x = 3,287,646,244/37,068
6. Step 6: Final answer
   x = 88,692.30