Finding the Third Proportional to 42,589 and 89,591

Step by Step Solution

1. Step 1: Write the proportion equation
   42,589 : 89,591 = 89,591 : x
2. Step 2: Convert to fraction form
   42,589/89,591 = 89,591/x
3. Step 3: Cross multiply
   42,589x = 89,591 × 89,591
4. Step 4: Simplify right side
   42,589x = 8,026,547,281
5. Step 5: Solve for x
   x = 8,026,547,281/42,589
6. Step 6: Final answer
   x = 188,465.27