Finding the Third Proportional to 23,816 and 59,094

Step by Step Solution

1. Step 1: Write the proportion equation
   23,816 : 59,094 = 59,094 : x
2. Step 2: Convert to fraction form
   23,816/59,094 = 59,094/x
3. Step 3: Cross multiply
   23,816x = 59,094 × 59,094
4. Step 4: Simplify right side
   23,816x = 3,492,100,836
5. Step 5: Solve for x
   x = 3,492,100,836/23,816
6. Step 6: Final answer
   x = 146,628.35