Finding the Third Proportional to 23,031 and 34,546.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,031 : 34,546.50 = 34,546.50 : x
2. Step 2: Convert to fraction form
   23,031/34,546.50 = 34,546.50/x
3. Step 3: Cross multiply
   23,031x = 34,546.50 × 34,546.50
4. Step 4: Simplify right side
   23,031x = 1,193,460,662.25
5. Step 5: Solve for x
   x = 1,193,460,662.25/23,031
6. Step 6: Final answer
   x = 51,819.75