Finding the Third Proportional to 2,470.50 and 4,703.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,470.50 : 4,703.06 = 4,703.06 : x
2. Step 2: Convert to fraction form
   2,470.50/4,703.06 = 4,703.06/x
3. Step 3: Cross multiply
   2,470.50x = 4,703.06 × 4,703.06
4. Step 4: Simplify right side
   2,470.50x = 22,118,796.88
5. Step 5: Solve for x
   x = 22,118,796.88/2,470.50
6. Step 6: Final answer
   x = 8,953.17