Finding the Third Proportional to 17,751.75 and 38,077.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,751.75 : 38,077.50 = 38,077.50 : x
2. Step 2: Convert to fraction form
   17,751.75/38,077.50 = 38,077.50/x
3. Step 3: Cross multiply
   17,751.75x = 38,077.50 × 38,077.50
4. Step 4: Simplify right side
   17,751.75x = 1,449,896,006.25
5. Step 5: Solve for x
   x = 1,449,896,006.25/17,751.75
6. Step 6: Final answer
   x = 81,676.23