Finding the Third Proportional to 17,779.50 and 42,666.75

Step by Step Solution

1. Step 1: Write the proportion equation
   17,779.50 : 42,666.75 = 42,666.75 : x
2. Step 2: Convert to fraction form
   17,779.50/42,666.75 = 42,666.75/x
3. Step 3: Cross multiply
   17,779.50x = 42,666.75 × 42,666.75
4. Step 4: Simplify right side
   17,779.50x = 1,820,451,555.56
5. Step 5: Solve for x
   x = 1,820,451,555.56/17,779.50
6. Step 6: Final answer
   x = 102,390.48