Finding the Third Proportional to 10,520 and 17,534

Step by Step Solution

1. Step 1: Write the proportion equation
   10,520 : 17,534 = 17,534 : x
2. Step 2: Convert to fraction form
   10,520/17,534 = 17,534/x
3. Step 3: Cross multiply
   10,520x = 17,534 × 17,534
4. Step 4: Simplify right side
   10,520x = 307,441,156
5. Step 5: Solve for x
   x = 307,441,156/10,520
6. Step 6: Final answer
   x = 29,224.44