Finding the Third Proportional to 2,416.50 and 5,300.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,416.50 : 5,300.02 = 5,300.02 : x
2. Step 2: Convert to fraction form
   2,416.50/5,300.02 = 5,300.02/x
3. Step 3: Cross multiply
   2,416.50x = 5,300.02 × 5,300.02
4. Step 4: Simplify right side
   2,416.50x = 28,090,165.63
5. Step 5: Solve for x
   x = 28,090,165.63/2,416.50
6. Step 6: Final answer
   x = 11,624.32