Finding the Third Proportional to 2,374,225.50 and 3,678,624

Step by Step Solution

1. Step 1: Write the proportion equation
   2,374,225.50 : 3,678,624 = 3,678,624 : x
2. Step 2: Convert to fraction form
   2,374,225.50/3,678,624 = 3,678,624/x
3. Step 3: Cross multiply
   2,374,225.50x = 3,678,624 × 3,678,624
4. Step 4: Simplify right side
   2,374,225.50x = 13,532,274,533,376
5. Step 5: Solve for x
   x = 13,532,274,533,376/2,374,225.50
6. Step 6: Final answer
   x = 5,699,658.49