Finding the Third Proportional to 39,784.50 and 86,594.06

Step by Step Solution

1. Step 1: Write the proportion equation
   39,784.50 : 86,594.06 = 86,594.06 : x
2. Step 2: Convert to fraction form
   39,784.50/86,594.06 = 86,594.06/x
3. Step 3: Cross multiply
   39,784.50x = 86,594.06 × 86,594.06
4. Step 4: Simplify right side
   39,784.50x = 7,498,531,660.25
5. Step 5: Solve for x
   x = 7,498,531,660.25/39,784.50
6. Step 6: Final answer
   x = 188,478.72