Finding the Third Proportional to 42,591 and 89,595

Step by Step Solution

1. Step 1: Write the proportion equation
   42,591 : 89,595 = 89,595 : x
2. Step 2: Convert to fraction form
   42,591/89,595 = 89,595/x
3. Step 3: Cross multiply
   42,591x = 89,595 × 89,595
4. Step 4: Simplify right side
   42,591x = 8,027,264,025
5. Step 5: Solve for x
   x = 8,027,264,025/42,591
6. Step 6: Final answer
   x = 188,473.25