Finding the Third Proportional to 27,906.75 and 39,784.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,906.75 : 39,784.50 = 39,784.50 : x
2. Step 2: Convert to fraction form
   27,906.75/39,784.50 = 39,784.50/x
3. Step 3: Cross multiply
   27,906.75x = 39,784.50 × 39,784.50
4. Step 4: Simplify right side
   27,906.75x = 1,582,806,440.25
5. Step 5: Solve for x
   x = 1,582,806,440.25/27,906.75
6. Step 6: Final answer
   x = 56,717.69