Finding the Third Proportional to 23,077.50 and 34,577.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,077.50 : 34,577.50 = 34,577.50 : x
2. Step 2: Convert to fraction form
   23,077.50/34,577.50 = 34,577.50/x
3. Step 3: Cross multiply
   23,077.50x = 34,577.50 × 34,577.50
4. Step 4: Simplify right side
   23,077.50x = 1,195,603,506.25
5. Step 5: Solve for x
   x = 1,195,603,506.25/23,077.50
6. Step 6: Final answer
   x = 51,808.19