Finding the Third Proportional to 2,061 and 3,407.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,061 : 3,407.50 = 3,407.50 : x
2. Step 2: Convert to fraction form
   2,061/3,407.50 = 3,407.50/x
3. Step 3: Cross multiply
   2,061x = 3,407.50 × 3,407.50
4. Step 4: Simplify right side
   2,061x = 11,611,056.25
5. Step 5: Solve for x
   x = 11,611,056.25/2,061
6. Step 6: Final answer
   x = 5,633.70