Finding the Third Proportional to 31,600 and 47,528

Step by Step Solution

1. Step 1: Write the proportion equation
   31,600 : 47,528 = 47,528 : x
2. Step 2: Convert to fraction form
   31,600/47,528 = 47,528/x
3. Step 3: Cross multiply
   31,600x = 47,528 × 47,528
4. Step 4: Simplify right side
   31,600x = 2,258,910,784
5. Step 5: Solve for x
   x = 2,258,910,784/31,600
6. Step 6: Final answer
   x = 71,484.52