Finding the Third Proportional to 36,414 and 59,094

Step by Step Solution

1. Step 1: Write the proportion equation
   36,414 : 59,094 = 59,094 : x
2. Step 2: Convert to fraction form
   36,414/59,094 = 59,094/x
3. Step 3: Cross multiply
   36,414x = 59,094 × 59,094
4. Step 4: Simplify right side
   36,414x = 3,492,100,836
5. Step 5: Solve for x
   x = 3,492,100,836/36,414
6. Step 6: Final answer
   x = 95,899.95