Finding the Third Proportional to 42,726 and 90,375

Step by Step Solution

1. Step 1: Write the proportion equation
   42,726 : 90,375 = 90,375 : x
2. Step 2: Convert to fraction form
   42,726/90,375 = 90,375/x
3. Step 3: Cross multiply
   42,726x = 90,375 × 90,375
4. Step 4: Simplify right side
   42,726x = 8,167,640,625
5. Step 5: Solve for x
   x = 8,167,640,625/42,726
6. Step 6: Final answer
   x = 191,163.24