Finding the Third Proportional to 1,507.50 and 2,160

Step by Step Solution

1. Step 1: Write the proportion equation
   1,507.50 : 2,160 = 2,160 : x
2. Step 2: Convert to fraction form
   1,507.50/2,160 = 2,160/x
3. Step 3: Cross multiply
   1,507.50x = 2,160 × 2,160
4. Step 4: Simplify right side
   1,507.50x = 4,665,600
5. Step 5: Solve for x
   x = 4,665,600/1,507.50
6. Step 6: Final answer
   x = 3,094.93