Finding the Third Proportional to 30,752 and 47,012

Step by Step Solution

1. Step 1: Write the proportion equation
   30,752 : 47,012 = 47,012 : x
2. Step 2: Convert to fraction form
   30,752/47,012 = 47,012/x
3. Step 3: Cross multiply
   30,752x = 47,012 × 47,012
4. Step 4: Simplify right side
   30,752x = 2,210,128,144
5. Step 5: Solve for x
   x = 2,210,128,144/30,752
6. Step 6: Final answer
   x = 71,869.41