Finding the Third Proportional to 31,821 and 48,568.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,821 : 48,568.50 = 48,568.50 : x
2. Step 2: Convert to fraction form
   31,821/48,568.50 = 48,568.50/x
3. Step 3: Cross multiply
   31,821x = 48,568.50 × 48,568.50
4. Step 4: Simplify right side
   31,821x = 2,358,899,192.25
5. Step 5: Solve for x
   x = 2,358,899,192.25/31,821
6. Step 6: Final answer
   x = 74,130.27