Finding the Third Proportional to 69,624 and 101,458

Step by Step Solution

1. Step 1: Write the proportion equation
   69,624 : 101,458 = 101,458 : x
2. Step 2: Convert to fraction form
   69,624/101,458 = 101,458/x
3. Step 3: Cross multiply
   69,624x = 101,458 × 101,458
4. Step 4: Simplify right side
   69,624x = 10,293,725,764
5. Step 5: Solve for x
   x = 10,293,725,764/69,624
6. Step 6: Final answer
   x = 147,847.38