Finding the Third Proportional to 38,914 and 85,364

Step by Step Solution

1. Step 1: Write the proportion equation
   38,914 : 85,364 = 85,364 : x
2. Step 2: Convert to fraction form
   38,914/85,364 = 85,364/x
3. Step 3: Cross multiply
   38,914x = 85,364 × 85,364
4. Step 4: Simplify right side
   38,914x = 7,287,012,496
5. Step 5: Solve for x
   x = 7,287,012,496/38,914
6. Step 6: Final answer
   x = 187,259.41