Finding the Third Proportional to 20,047.50 and 30,577.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,047.50 : 30,577.50 = 30,577.50 : x
2. Step 2: Convert to fraction form
   20,047.50/30,577.50 = 30,577.50/x
3. Step 3: Cross multiply
   20,047.50x = 30,577.50 × 30,577.50
4. Step 4: Simplify right side
   20,047.50x = 934,983,506.25
5. Step 5: Solve for x
   x = 934,983,506.25/20,047.50
6. Step 6: Final answer
   x = 46,638.41