Finding the Third Proportional to 38,538 and 61,074

Step by Step Solution

1. Step 1: Write the proportion equation
   38,538 : 61,074 = 61,074 : x
2. Step 2: Convert to fraction form
   38,538/61,074 = 61,074/x
3. Step 3: Cross multiply
   38,538x = 61,074 × 61,074
4. Step 4: Simplify right side
   38,538x = 3,730,033,476
5. Step 5: Solve for x
   x = 3,730,033,476/38,538
6. Step 6: Final answer
   x = 96,788.45