Finding the Third Proportional to 38,926.41 and 85,122.56

Step by Step Solution

1. Step 1: Write the proportion equation
   38,926.41 : 85,122.56 = 85,122.56 : x
2. Step 2: Convert to fraction form
   38,926.41/85,122.56 = 85,122.56/x
3. Step 3: Cross multiply
   38,926.41x = 85,122.56 × 85,122.56
4. Step 4: Simplify right side
   38,926.41x = 7,245,850,646.57
5. Step 5: Solve for x
   x = 7,245,850,646.57/38,926.41
6. Step 6: Final answer
   x = 186,142.30