Finding the Third Proportional to 38,137.50 and 89,089.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,137.50 : 89,089.50 = 89,089.50 : x
2. Step 2: Convert to fraction form
   38,137.50/89,089.50 = 89,089.50/x
3. Step 3: Cross multiply
   38,137.50x = 89,089.50 × 89,089.50
4. Step 4: Simplify right side
   38,137.50x = 7,936,939,010.25
5. Step 5: Solve for x
   x = 7,936,939,010.25/38,137.50
6. Step 6: Final answer
   x = 208,113.77