Finding the Third Proportional to 31,821 and 46,636.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,821 : 46,636.50 = 46,636.50 : x
2. Step 2: Convert to fraction form
   31,821/46,636.50 = 46,636.50/x
3. Step 3: Cross multiply
   31,821x = 46,636.50 × 46,636.50
4. Step 4: Simplify right side
   31,821x = 2,174,963,132.25
5. Step 5: Solve for x
   x = 2,174,963,132.25/31,821
6. Step 6: Final answer
   x = 68,349.93