Finding the Third Proportional to 42,588 and 91,014

Step by Step Solution

1. Step 1: Write the proportion equation
   42,588 : 91,014 = 91,014 : x
2. Step 2: Convert to fraction form
   42,588/91,014 = 91,014/x
3. Step 3: Cross multiply
   42,588x = 91,014 × 91,014
4. Step 4: Simplify right side
   42,588x = 8,283,548,196
5. Step 5: Solve for x
   x = 8,283,548,196/42,588
6. Step 6: Final answer
   x = 194,504.28