Finding the Third Proportional to 17,779.50 and 42,201

Step by Step Solution

1. Step 1: Write the proportion equation
   17,779.50 : 42,201 = 42,201 : x
2. Step 2: Convert to fraction form
   17,779.50/42,201 = 42,201/x
3. Step 3: Cross multiply
   17,779.50x = 42,201 × 42,201
4. Step 4: Simplify right side
   17,779.50x = 1,780,924,401
5. Step 5: Solve for x
   x = 1,780,924,401/17,779.50
6. Step 6: Final answer
   x = 100,167.29