Finding the Third Proportional to 38,219 and 59,033

Step by Step Solution

1. Step 1: Write the proportion equation
   38,219 : 59,033 = 59,033 : x
2. Step 2: Convert to fraction form
   38,219/59,033 = 59,033/x
3. Step 3: Cross multiply
   38,219x = 59,033 × 59,033
4. Step 4: Simplify right side
   38,219x = 3,484,895,089
5. Step 5: Solve for x
   x = 3,484,895,089/38,219
6. Step 6: Final answer
   x = 91,182.27