Finding the Third Proportional to 20,788 and 31,516

Step by Step Solution

1. Step 1: Write the proportion equation
   20,788 : 31,516 = 31,516 : x
2. Step 2: Convert to fraction form
   20,788/31,516 = 31,516/x
3. Step 3: Cross multiply
   20,788x = 31,516 × 31,516
4. Step 4: Simplify right side
   20,788x = 993,258,256
5. Step 5: Solve for x
   x = 993,258,256/20,788
6. Step 6: Final answer
   x = 47,780.37