Finding the Third Proportional to 38,908 and 85,380

Step by Step Solution

1. Step 1: Write the proportion equation
   38,908 : 85,380 = 85,380 : x
2. Step 2: Convert to fraction form
   38,908/85,380 = 85,380/x
3. Step 3: Cross multiply
   38,908x = 85,380 × 85,380
4. Step 4: Simplify right side
   38,908x = 7,289,744,400
5. Step 5: Solve for x
   x = 7,289,744,400/38,908
6. Step 6: Final answer
   x = 187,358.50