Finding the Third Proportional to 17,814 and 38,377.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,814 : 38,377.50 = 38,377.50 : x
2. Step 2: Convert to fraction form
   17,814/38,377.50 = 38,377.50/x
3. Step 3: Cross multiply
   17,814x = 38,377.50 × 38,377.50
4. Step 4: Simplify right side
   17,814x = 1,472,832,506.25
5. Step 5: Solve for x
   x = 1,472,832,506.25/17,814
6. Step 6: Final answer
   x = 82,678.37