Finding the Third Proportional to 12,802.25 and 26,492.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,802.25 : 26,492.50 = 26,492.50 : x
2. Step 2: Convert to fraction form
   12,802.25/26,492.50 = 26,492.50/x
3. Step 3: Cross multiply
   12,802.25x = 26,492.50 × 26,492.50
4. Step 4: Simplify right side
   12,802.25x = 701,852,556.25
5. Step 5: Solve for x
   x = 701,852,556.25/12,802.25
6. Step 6: Final answer
   x = 54,822.59