Finding the Third Proportional to 23,634 and 31,540.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,634 : 31,540.50 = 31,540.50 : x
2. Step 2: Convert to fraction form
   23,634/31,540.50 = 31,540.50/x
3. Step 3: Cross multiply
   23,634x = 31,540.50 × 31,540.50
4. Step 4: Simplify right side
   23,634x = 994,803,140.25
5. Step 5: Solve for x
   x = 994,803,140.25/23,634
6. Step 6: Final answer
   x = 42,092.03