Finding the Third Proportional to 31,160 and 47,064

Step by Step Solution

1. Step 1: Write the proportion equation
   31,160 : 47,064 = 47,064 : x
2. Step 2: Convert to fraction form
   31,160/47,064 = 47,064/x
3. Step 3: Cross multiply
   31,160x = 47,064 × 47,064
4. Step 4: Simplify right side
   31,160x = 2,215,020,096
5. Step 5: Solve for x
   x = 2,215,020,096/31,160
6. Step 6: Final answer
   x = 71,085.37