Finding the Third Proportional to 38,497.50 and 89,439.75

Step by Step Solution

1. Step 1: Write the proportion equation
   38,497.50 : 89,439.75 = 89,439.75 : x
2. Step 2: Convert to fraction form
   38,497.50/89,439.75 = 89,439.75/x
3. Step 3: Cross multiply
   38,497.50x = 89,439.75 × 89,439.75
4. Step 4: Simplify right side
   38,497.50x = 7,999,468,880.06
5. Step 5: Solve for x
   x = 7,999,468,880.06/38,497.50
6. Step 6: Final answer
   x = 207,791.91