Finding the Third Proportional to 6,534 and 15,300

Step by Step Solution

1. Step 1: Write the proportion equation
   6,534 : 15,300 = 15,300 : x
2. Step 2: Convert to fraction form
   6,534/15,300 = 15,300/x
3. Step 3: Cross multiply
   6,534x = 15,300 × 15,300
4. Step 4: Simplify right side
   6,534x = 234,090,000
5. Step 5: Solve for x
   x = 234,090,000/6,534
6. Step 6: Final answer
   x = 35,826.45