Finding the Third Proportional to 31,994 and 47,969

Step by Step Solution

1. Step 1: Write the proportion equation
   31,994 : 47,969 = 47,969 : x
2. Step 2: Convert to fraction form
   31,994/47,969 = 47,969/x
3. Step 3: Cross multiply
   31,994x = 47,969 × 47,969
4. Step 4: Simplify right side
   31,994x = 2,301,024,961
5. Step 5: Solve for x
   x = 2,301,024,961/31,994
6. Step 6: Final answer
   x = 71,920.52