Finding the Third Proportional to 23,085 and 34,475.63

Step by Step Solution

1. Step 1: Write the proportion equation
   23,085 : 34,475.63 = 34,475.63 : x
2. Step 2: Convert to fraction form
   23,085/34,475.63 = 34,475.63/x
3. Step 3: Cross multiply
   23,085x = 34,475.63 × 34,475.63
4. Step 4: Simplify right side
   23,085x = 1,188,568,719.14
5. Step 5: Solve for x
   x = 1,188,568,719.14/23,085
6. Step 6: Final answer
   x = 51,486.62