Finding the Third Proportional to 38,514 and 83,970

Step by Step Solution

1. Step 1: Write the proportion equation
   38,514 : 83,970 = 83,970 : x
2. Step 2: Convert to fraction form
   38,514/83,970 = 83,970/x
3. Step 3: Cross multiply
   38,514x = 83,970 × 83,970
4. Step 4: Simplify right side
   38,514x = 7,050,960,900
5. Step 5: Solve for x
   x = 7,050,960,900/38,514
6. Step 6: Final answer
   x = 183,075.27