Finding the Third Proportional to 31,528 and 47,947

Step by Step Solution

1. Step 1: Write the proportion equation
   31,528 : 47,947 = 47,947 : x
2. Step 2: Convert to fraction form
   31,528/47,947 = 47,947/x
3. Step 3: Cross multiply
   31,528x = 47,947 × 47,947
4. Step 4: Simplify right side
   31,528x = 2,298,914,809
5. Step 5: Solve for x
   x = 2,298,914,809/31,528
6. Step 6: Final answer
   x = 72,916.61