Finding the Third Proportional to 6,277.50 and 17,077.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,277.50 : 17,077.50 = 17,077.50 : x
2. Step 2: Convert to fraction form
   6,277.50/17,077.50 = 17,077.50/x
3. Step 3: Cross multiply
   6,277.50x = 17,077.50 × 17,077.50
4. Step 4: Simplify right side
   6,277.50x = 291,641,006.25
5. Step 5: Solve for x
   x = 291,641,006.25/6,277.50
6. Step 6: Final answer
   x = 46,458.15