Finding the Third Proportional to 23,350 and 31,459.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,350 : 31,459.50 = 31,459.50 : x
2. Step 2: Convert to fraction form
   23,350/31,459.50 = 31,459.50/x
3. Step 3: Cross multiply
   23,350x = 31,459.50 × 31,459.50
4. Step 4: Simplify right side
   23,350x = 989,700,140.25
5. Step 5: Solve for x
   x = 989,700,140.25/23,350
6. Step 6: Final answer
   x = 42,385.44