Finding the Third Proportional to 51,824 and 70,012

Step by Step Solution

1. Step 1: Write the proportion equation
   51,824 : 70,012 = 70,012 : x
2. Step 2: Convert to fraction form
   51,824/70,012 = 70,012/x
3. Step 3: Cross multiply
   51,824x = 70,012 × 70,012
4. Step 4: Simplify right side
   51,824x = 4,901,680,144
5. Step 5: Solve for x
   x = 4,901,680,144/51,824
6. Step 6: Final answer
   x = 94,583.21