Finding the Third Proportional to 31,143 and 47,086.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,143 : 47,086.50 = 47,086.50 : x
2. Step 2: Convert to fraction form
   31,143/47,086.50 = 47,086.50/x
3. Step 3: Cross multiply
   31,143x = 47,086.50 × 47,086.50
4. Step 4: Simplify right side
   31,143x = 2,217,138,482.25
5. Step 5: Solve for x
   x = 2,217,138,482.25/31,143
6. Step 6: Final answer
   x = 71,192.19