Finding the Third Proportional to 27,146.81 and 38,228.63

Step by Step Solution

1. Step 1: Write the proportion equation
   27,146.81 : 38,228.63 = 38,228.63 : x
2. Step 2: Convert to fraction form
   27,146.81/38,228.63 = 38,228.63/x
3. Step 3: Cross multiply
   27,146.81x = 38,228.63 × 38,228.63
4. Step 4: Simplify right side
   27,146.81x = 1,461,427,769.39
5. Step 5: Solve for x
   x = 1,461,427,769.39/27,146.81
6. Step 6: Final answer
   x = 53,834.23