Finding the Third Proportional to 1,526.34 and 3,274.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,526.34 : 3,274.80 = 3,274.80 : x
2. Step 2: Convert to fraction form
   1,526.34/3,274.80 = 3,274.80/x
3. Step 3: Cross multiply
   1,526.34x = 3,274.80 × 3,274.80
4. Step 4: Simplify right side
   1,526.34x = 10,724,345.74
5. Step 5: Solve for x
   x = 10,724,345.74/1,526.34
6. Step 6: Final answer
   x = 7,026.17