Finding the Third Proportional to 39,574.50 and 84,339.75

Step by Step Solution

1. Step 1: Write the proportion equation
   39,574.50 : 84,339.75 = 84,339.75 : x
2. Step 2: Convert to fraction form
   39,574.50/84,339.75 = 84,339.75/x
3. Step 3: Cross multiply
   39,574.50x = 84,339.75 × 84,339.75
4. Step 4: Simplify right side
   39,574.50x = 7,113,193,430.06
5. Step 5: Solve for x
   x = 7,113,193,430.06/39,574.50
6. Step 6: Final answer
   x = 179,741.84