Finding the Third Proportional to 23,052 and 31,285.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,052 : 31,285.50 = 31,285.50 : x
2. Step 2: Convert to fraction form
   23,052/31,285.50 = 31,285.50/x
3. Step 3: Cross multiply
   23,052x = 31,285.50 × 31,285.50
4. Step 4: Simplify right side
   23,052x = 978,782,510.25
5. Step 5: Solve for x
   x = 978,782,510.25/23,052
6. Step 6: Final answer
   x = 42,459.77