Finding the Third Proportional to 38,234.94 and 83,381.88

Step by Step Solution

1. Step 1: Write the proportion equation
   38,234.94 : 83,381.88 = 83,381.88 : x
2. Step 2: Convert to fraction form
   38,234.94/83,381.88 = 83,381.88/x
3. Step 3: Cross multiply
   38,234.94x = 83,381.88 × 83,381.88
4. Step 4: Simplify right side
   38,234.94x = 6,952,537,078.52
5. Step 5: Solve for x
   x = 6,952,537,078.52/38,234.94
6. Step 6: Final answer
   x = 181,837.28