Finding the Third Proportional to 38,379 and 59,209

Step by Step Solution

1. Step 1: Write the proportion equation
   38,379 : 59,209 = 59,209 : x
2. Step 2: Convert to fraction form
   38,379/59,209 = 59,209/x
3. Step 3: Cross multiply
   38,379x = 59,209 × 59,209
4. Step 4: Simplify right side
   38,379x = 3,505,705,681
5. Step 5: Solve for x
   x = 3,505,705,681/38,379
6. Step 6: Final answer
   x = 91,344.37