Finding the Third Proportional to 2,938.78 and 4,700.53

Step by Step Solution

1. Step 1: Write the proportion equation
   2,938.78 : 4,700.53 = 4,700.53 : x
2. Step 2: Convert to fraction form
   2,938.78/4,700.53 = 4,700.53/x
3. Step 3: Cross multiply
   2,938.78x = 4,700.53 × 4,700.53
4. Step 4: Simplify right side
   2,938.78x = 22,094,994.03
5. Step 5: Solve for x
   x = 22,094,994.03/2,938.78
6. Step 6: Final answer
   x = 7,518.42