Finding the Third Proportional to 5,852.63 and 12,697.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,852.63 : 12,697.50 = 12,697.50 : x
2. Step 2: Convert to fraction form
   5,852.63/12,697.50 = 12,697.50/x
3. Step 3: Cross multiply
   5,852.63x = 12,697.50 × 12,697.50
4. Step 4: Simplify right side
   5,852.63x = 161,226,506.25
5. Step 5: Solve for x
   x = 161,226,506.25/5,852.63
6. Step 6: Final answer
   x = 27,547.73