Finding the Third Proportional to 31,978.13 and 47,967.19

Step by Step Solution

1. Step 1: Write the proportion equation
   31,978.13 : 47,967.19 = 47,967.19 : x
2. Step 2: Convert to fraction form
   31,978.13/47,967.19 = 47,967.19/x
3. Step 3: Cross multiply
   31,978.13x = 47,967.19 × 47,967.19
4. Step 4: Simplify right side
   31,978.13x = 2,300,851,076.66
5. Step 5: Solve for x
   x = 2,300,851,076.66/31,978.13
6. Step 6: Final answer
   x = 71,950.78