Finding the Third Proportional to 30,222 and 42,457.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,222 : 42,457.50 = 42,457.50 : x
2. Step 2: Convert to fraction form
   30,222/42,457.50 = 42,457.50/x
3. Step 3: Cross multiply
   30,222x = 42,457.50 × 42,457.50
4. Step 4: Simplify right side
   30,222x = 1,802,639,306.25
5. Step 5: Solve for x
   x = 1,802,639,306.25/30,222
6. Step 6: Final answer
   x = 59,646.59