Finding the Third Proportional to 38,974.50 and 84,175.88

Step by Step Solution

1. Step 1: Write the proportion equation
   38,974.50 : 84,175.88 = 84,175.88 : x
2. Step 2: Convert to fraction form
   38,974.50/84,175.88 = 84,175.88/x
3. Step 3: Cross multiply
   38,974.50x = 84,175.88 × 84,175.88
4. Step 4: Simplify right side
   38,974.50x = 7,085,577,932.02
5. Step 5: Solve for x
   x = 7,085,577,932.02/38,974.50
6. Step 6: Final answer
   x = 181,800.35