Finding the Third Proportional to 42,584.63 and 89,583

Step by Step Solution

1. Step 1: Write the proportion equation
   42,584.63 : 89,583 = 89,583 : x
2. Step 2: Convert to fraction form
   42,584.63/89,583 = 89,583/x
3. Step 3: Cross multiply
   42,584.63x = 89,583 × 89,583
4. Step 4: Simplify right side
   42,584.63x = 8,025,113,889
5. Step 5: Solve for x
   x = 8,025,113,889/42,584.63
6. Step 6: Final answer
   x = 188,450.97