Finding the Third Proportional to 21,585 and 31,549.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,585 : 31,549.50 = 31,549.50 : x
2. Step 2: Convert to fraction form
   21,585/31,549.50 = 31,549.50/x
3. Step 3: Cross multiply
   21,585x = 31,549.50 × 31,549.50
4. Step 4: Simplify right side
   21,585x = 995,370,950.25
5. Step 5: Solve for x
   x = 995,370,950.25/21,585
6. Step 6: Final answer
   x = 46,114.01