Finding the Third Proportional to 31,340 and 47,014

Step by Step Solution

1. Step 1: Write the proportion equation
   31,340 : 47,014 = 47,014 : x
2. Step 2: Convert to fraction form
   31,340/47,014 = 47,014/x
3. Step 3: Cross multiply
   31,340x = 47,014 × 47,014
4. Step 4: Simplify right side
   31,340x = 2,210,316,196
5. Step 5: Solve for x
   x = 2,210,316,196/31,340
6. Step 6: Final answer
   x = 70,527.00