Finding the Third Proportional to 27,909 and 37,903.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,909 : 37,903.50 = 37,903.50 : x
2. Step 2: Convert to fraction form
   27,909/37,903.50 = 37,903.50/x
3. Step 3: Cross multiply
   27,909x = 37,903.50 × 37,903.50
4. Step 4: Simplify right side
   27,909x = 1,436,675,312.25
5. Step 5: Solve for x
   x = 1,436,675,312.25/27,909
6. Step 6: Final answer
   x = 51,477.13