Finding the Third Proportional to 2,116 and 2,737.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,116 : 2,737.50 = 2,737.50 : x
2. Step 2: Convert to fraction form
   2,116/2,737.50 = 2,737.50/x
3. Step 3: Cross multiply
   2,116x = 2,737.50 × 2,737.50
4. Step 4: Simplify right side
   2,116x = 7,493,906.25
5. Step 5: Solve for x
   x = 7,493,906.25/2,116
6. Step 6: Final answer
   x = 3,541.54