Finding the Third Proportional to 59,094 and 89,345

Step by Step Solution

1. Step 1: Write the proportion equation
   59,094 : 89,345 = 89,345 : x
2. Step 2: Convert to fraction form
   59,094/89,345 = 89,345/x
3. Step 3: Cross multiply
   59,094x = 89,345 × 89,345
4. Step 4: Simplify right side
   59,094x = 7,982,529,025
5. Step 5: Solve for x
   x = 7,982,529,025/59,094
6. Step 6: Final answer
   x = 135,081.89