Finding the Third Proportional to 27,906 and 39,031.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,906 : 39,031.50 = 39,031.50 : x
2. Step 2: Convert to fraction form
   27,906/39,031.50 = 39,031.50/x
3. Step 3: Cross multiply
   27,906x = 39,031.50 × 39,031.50
4. Step 4: Simplify right side
   27,906x = 1,523,457,992.25
5. Step 5: Solve for x
   x = 1,523,457,992.25/27,906
6. Step 6: Final answer
   x = 54,592.49