Finding the Third Proportional to 4,657.50 and 5,090.34

Step by Step Solution

1. Step 1: Write the proportion equation
   4,657.50 : 5,090.34 = 5,090.34 : x
2. Step 2: Convert to fraction form
   4,657.50/5,090.34 = 5,090.34/x
3. Step 3: Cross multiply
   4,657.50x = 5,090.34 × 5,090.34
4. Step 4: Simplify right side
   4,657.50x = 25,911,599.49
5. Step 5: Solve for x
   x = 25,911,599.49/4,657.50
6. Step 6: Final answer
   x = 5,563.41