Finding the Third Proportional to 11,925 and 17,746.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,925 : 17,746.50 = 17,746.50 : x
2. Step 2: Convert to fraction form
   11,925/17,746.50 = 17,746.50/x
3. Step 3: Cross multiply
   11,925x = 17,746.50 × 17,746.50
4. Step 4: Simplify right side
   11,925x = 314,938,262.25
5. Step 5: Solve for x
   x = 314,938,262.25/11,925
6. Step 6: Final answer
   x = 26,409.92