Finding the Third Proportional to 69,665 and 101,581

Step by Step Solution

1. Step 1: Write the proportion equation
   69,665 : 101,581 = 101,581 : x
2. Step 2: Convert to fraction form
   69,665/101,581 = 101,581/x
3. Step 3: Cross multiply
   69,665x = 101,581 × 101,581
4. Step 4: Simplify right side
   69,665x = 10,318,699,561
5. Step 5: Solve for x
   x = 10,318,699,561/69,665
6. Step 6: Final answer
   x = 148,118.85