Finding the Third Proportional to 27,643.50 and 37,827.84

Step by Step Solution

1. Step 1: Write the proportion equation
   27,643.50 : 37,827.84 = 37,827.84 : x
2. Step 2: Convert to fraction form
   27,643.50/37,827.84 = 37,827.84/x
3. Step 3: Cross multiply
   27,643.50x = 37,827.84 × 37,827.84
4. Step 4: Simplify right side
   27,643.50x = 1,430,945,762.77
5. Step 5: Solve for x
   x = 1,430,945,762.77/27,643.50
6. Step 6: Final answer
   x = 51,764.28