Finding the Third Proportional to 31,681.13 and 47,035.69

Step by Step Solution

1. Step 1: Write the proportion equation
   31,681.13 : 47,035.69 = 47,035.69 : x
2. Step 2: Convert to fraction form
   31,681.13/47,035.69 = 47,035.69/x
3. Step 3: Cross multiply
   31,681.13x = 47,035.69 × 47,035.69
4. Step 4: Simplify right side
   31,681.13x = 2,212,355,898.60
5. Step 5: Solve for x
   x = 2,212,355,898.60/31,681.13
6. Step 6: Final answer
   x = 69,831.99