Finding the Third Proportional to 20,140 and 31,359

Step by Step Solution

1. Step 1: Write the proportion equation
   20,140 : 31,359 = 31,359 : x
2. Step 2: Convert to fraction form
   20,140/31,359 = 31,359/x
3. Step 3: Cross multiply
   20,140x = 31,359 × 31,359
4. Step 4: Simplify right side
   20,140x = 983,386,881
5. Step 5: Solve for x
   x = 983,386,881/20,140
6. Step 6: Final answer
   x = 48,827.55