Finding the Third Proportional to 7,705.25 and 15,774.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,705.25 : 15,774.50 = 15,774.50 : x
2. Step 2: Convert to fraction form
   7,705.25/15,774.50 = 15,774.50/x
3. Step 3: Cross multiply
   7,705.25x = 15,774.50 × 15,774.50
4. Step 4: Simplify right side
   7,705.25x = 248,834,850.25
5. Step 5: Solve for x
   x = 248,834,850.25/7,705.25
6. Step 6: Final answer
   x = 32,294.20