Finding the Third Proportional to 31,156 and 47,706

Step by Step Solution

1. Step 1: Write the proportion equation
   31,156 : 47,706 = 47,706 : x
2. Step 2: Convert to fraction form
   31,156/47,706 = 47,706/x
3. Step 3: Cross multiply
   31,156x = 47,706 × 47,706
4. Step 4: Simplify right side
   31,156x = 2,275,862,436
5. Step 5: Solve for x
   x = 2,275,862,436/31,156
6. Step 6: Final answer
   x = 73,047.32