Finding the Third Proportional to 38,640 and 89,458.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,640 : 89,458.50 = 89,458.50 : x
2. Step 2: Convert to fraction form
   38,640/89,458.50 = 89,458.50/x
3. Step 3: Cross multiply
   38,640x = 89,458.50 × 89,458.50
4. Step 4: Simplify right side
   38,640x = 8,002,823,222.25
5. Step 5: Solve for x
   x = 8,002,823,222.25/38,640
6. Step 6: Final answer
   x = 207,112.40