Finding the Third Proportional to 38,094 and 89,025

Step by Step Solution

1. Step 1: Write the proportion equation
   38,094 : 89,025 = 89,025 : x
2. Step 2: Convert to fraction form
   38,094/89,025 = 89,025/x
3. Step 3: Cross multiply
   38,094x = 89,025 × 89,025
4. Step 4: Simplify right side
   38,094x = 7,925,450,625
5. Step 5: Solve for x
   x = 7,925,450,625/38,094
6. Step 6: Final answer
   x = 208,049.84