Finding the Third Proportional to 2,373.50 and 3,547

Step by Step Solution

1. Step 1: Write the proportion equation
   2,373.50 : 3,547 = 3,547 : x
2. Step 2: Convert to fraction form
   2,373.50/3,547 = 3,547/x
3. Step 3: Cross multiply
   2,373.50x = 3,547 × 3,547
4. Step 4: Simplify right side
   2,373.50x = 12,581,209
5. Step 5: Solve for x
   x = 12,581,209/2,373.50
6. Step 6: Final answer
   x = 5,300.70