Finding the Third Proportional to 19,734.75 and 30,577.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,734.75 : 30,577.50 = 30,577.50 : x
2. Step 2: Convert to fraction form
   19,734.75/30,577.50 = 30,577.50/x
3. Step 3: Cross multiply
   19,734.75x = 30,577.50 × 30,577.50
4. Step 4: Simplify right side
   19,734.75x = 934,983,506.25
5. Step 5: Solve for x
   x = 934,983,506.25/19,734.75
6. Step 6: Final answer
   x = 47,377.52