Finding the Third Proportional to 11,538.75 and 25,156.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,538.75 : 25,156.50 = 25,156.50 : x
2. Step 2: Convert to fraction form
   11,538.75/25,156.50 = 25,156.50/x
3. Step 3: Cross multiply
   11,538.75x = 25,156.50 × 25,156.50
4. Step 4: Simplify right side
   11,538.75x = 632,849,492.25
5. Step 5: Solve for x
   x = 632,849,492.25/11,538.75
6. Step 6: Final answer
   x = 54,845.58