Finding the Third Proportional to 1,364.74 and 2,926.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,364.74 : 2,926.50 = 2,926.50 : x
2. Step 2: Convert to fraction form
   1,364.74/2,926.50 = 2,926.50/x
3. Step 3: Cross multiply
   1,364.74x = 2,926.50 × 2,926.50
4. Step 4: Simplify right side
   1,364.74x = 8,564,406.54
5. Step 5: Solve for x
   x = 8,564,406.54/1,364.74
6. Step 6: Final answer
   x = 6,275.49