Finding the Third Proportional to 2,301.75 and 4,927.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,301.75 : 4,927.50 = 4,927.50 : x
2. Step 2: Convert to fraction form
   2,301.75/4,927.50 = 4,927.50/x
3. Step 3: Cross multiply
   2,301.75x = 4,927.50 × 4,927.50
4. Step 4: Simplify right side
   2,301.75x = 24,280,256.25
5. Step 5: Solve for x
   x = 24,280,256.25/2,301.75
6. Step 6: Final answer
   x = 10,548.61