Finding the Third Proportional to 17,678.81 and 38,638.13

Step by Step Solution

1. Step 1: Write the proportion equation
   17,678.81 : 38,638.13 = 38,638.13 : x
2. Step 2: Convert to fraction form
   17,678.81/38,638.13 = 38,638.13/x
3. Step 3: Cross multiply
   17,678.81x = 38,638.13 × 38,638.13
4. Step 4: Simplify right side
   17,678.81x = 1,492,904,703.52
5. Step 5: Solve for x
   x = 1,492,904,703.52/17,678.81
6. Step 6: Final answer
   x = 84,445.98