Finding the Third Proportional to 31,984.88 and 47,977.31

Step by Step Solution

1. Step 1: Write the proportion equation
   31,984.88 : 47,977.31 = 47,977.31 : x
2. Step 2: Convert to fraction form
   31,984.88/47,977.31 = 47,977.31/x
3. Step 3: Cross multiply
   31,984.88x = 47,977.31 × 47,977.31
4. Step 4: Simplify right side
   31,984.88x = 2,301,822,514.72
5. Step 5: Solve for x
   x = 2,301,822,514.72/31,984.88
6. Step 6: Final answer
   x = 71,965.97