Finding the Third Proportional to 38,106.50 and 51,403.75

Step by Step Solution

1. Step 1: Write the proportion equation
   38,106.50 : 51,403.75 = 51,403.75 : x
2. Step 2: Convert to fraction form
   38,106.50/51,403.75 = 51,403.75/x
3. Step 3: Cross multiply
   38,106.50x = 51,403.75 × 51,403.75
4. Step 4: Simplify right side
   38,106.50x = 2,642,345,514.06
5. Step 5: Solve for x
   x = 2,642,345,514.06/38,106.50
6. Step 6: Final answer
   x = 69,341.07