Finding the Third Proportional to 31,710 and 47,461.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,710 : 47,461.50 = 47,461.50 : x
2. Step 2: Convert to fraction form
   31,710/47,461.50 = 47,461.50/x
3. Step 3: Cross multiply
   31,710x = 47,461.50 × 47,461.50
4. Step 4: Simplify right side
   31,710x = 2,252,593,982.25
5. Step 5: Solve for x
   x = 2,252,593,982.25/31,710
6. Step 6: Final answer
   x = 71,037.34