Finding the Third Proportional to 27,914.50 and 37,906.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,914.50 : 37,906.50 = 37,906.50 : x
2. Step 2: Convert to fraction form
   27,914.50/37,906.50 = 37,906.50/x
3. Step 3: Cross multiply
   27,914.50x = 37,906.50 × 37,906.50
4. Step 4: Simplify right side
   27,914.50x = 1,436,902,742.25
5. Step 5: Solve for x
   x = 1,436,902,742.25/27,914.50
6. Step 6: Final answer
   x = 51,475.14