Finding the Third Proportional to 1,672.50 and 3,612.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,672.50 : 3,612.75 = 3,612.75 : x
2. Step 2: Convert to fraction form
   1,672.50/3,612.75 = 3,612.75/x
3. Step 3: Cross multiply
   1,672.50x = 3,612.75 × 3,612.75
4. Step 4: Simplify right side
   1,672.50x = 13,051,962.56
5. Step 5: Solve for x
   x = 13,051,962.56/1,672.50
6. Step 6: Final answer
   x = 7,803.86