Finding the Third Proportional to 17,835 and 42,177.75

Step by Step Solution

1. Step 1: Write the proportion equation
   17,835 : 42,177.75 = 42,177.75 : x
2. Step 2: Convert to fraction form
   17,835/42,177.75 = 42,177.75/x
3. Step 3: Cross multiply
   17,835x = 42,177.75 × 42,177.75
4. Step 4: Simplify right side
   17,835x = 1,778,962,595.06
5. Step 5: Solve for x
   x = 1,778,962,595.06/17,835
6. Step 6: Final answer
   x = 99,745.59