Finding the Third Proportional to 21,085 and 31,572

Step by Step Solution

1. Step 1: Write the proportion equation
   21,085 : 31,572 = 31,572 : x
2. Step 2: Convert to fraction form
   21,085/31,572 = 31,572/x
3. Step 3: Cross multiply
   21,085x = 31,572 × 31,572
4. Step 4: Simplify right side
   21,085x = 996,791,184
5. Step 5: Solve for x
   x = 996,791,184/21,085
6. Step 6: Final answer
   x = 47,274.90