Finding the Third Proportional to 7,811.25 and 17,188.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,811.25 : 17,188.50 = 17,188.50 : x
2. Step 2: Convert to fraction form
   7,811.25/17,188.50 = 17,188.50/x
3. Step 3: Cross multiply
   7,811.25x = 17,188.50 × 17,188.50
4. Step 4: Simplify right side
   7,811.25x = 295,444,532.25
5. Step 5: Solve for x
   x = 295,444,532.25/7,811.25
6. Step 6: Final answer
   x = 37,822.95