Finding the Third Proportional to 69,294 and 105,030

Step by Step Solution

1. Step 1: Write the proportion equation
   69,294 : 105,030 = 105,030 : x
2. Step 2: Convert to fraction form
   69,294/105,030 = 105,030/x
3. Step 3: Cross multiply
   69,294x = 105,030 × 105,030
4. Step 4: Simplify right side
   69,294x = 11,031,300,900
5. Step 5: Solve for x
   x = 11,031,300,900/69,294
6. Step 6: Final answer
   x = 159,195.61