Finding the Third Proportional to 13,749.75 and 19,237.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,749.75 : 19,237.50 = 19,237.50 : x
2. Step 2: Convert to fraction form
   13,749.75/19,237.50 = 19,237.50/x
3. Step 3: Cross multiply
   13,749.75x = 19,237.50 × 19,237.50
4. Step 4: Simplify right side
   13,749.75x = 370,081,406.25
5. Step 5: Solve for x
   x = 370,081,406.25/13,749.75
6. Step 6: Final answer
   x = 26,915.50