Finding the Third Proportional to 31,820 and 47,710

Step by Step Solution

1. Step 1: Write the proportion equation
   31,820 : 47,710 = 47,710 : x
2. Step 2: Convert to fraction form
   31,820/47,710 = 47,710/x
3. Step 3: Cross multiply
   31,820x = 47,710 × 47,710
4. Step 4: Simplify right side
   31,820x = 2,276,244,100
5. Step 5: Solve for x
   x = 2,276,244,100/31,820
6. Step 6: Final answer
   x = 71,535.01