Finding the Third Proportional to 31,927.50 and 39,055.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,927.50 : 39,055.50 = 39,055.50 : x
2. Step 2: Convert to fraction form
   31,927.50/39,055.50 = 39,055.50/x
3. Step 3: Cross multiply
   31,927.50x = 39,055.50 × 39,055.50
4. Step 4: Simplify right side
   31,927.50x = 1,525,332,080.25
5. Step 5: Solve for x
   x = 1,525,332,080.25/31,927.50
6. Step 6: Final answer
   x = 47,774.87