Finding the Third Proportional to 17,838 and 42,184.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,838 : 42,184.50 = 42,184.50 : x
2. Step 2: Convert to fraction form
   17,838/42,184.50 = 42,184.50/x
3. Step 3: Cross multiply
   17,838x = 42,184.50 × 42,184.50
4. Step 4: Simplify right side
   17,838x = 1,779,532,040.25
5. Step 5: Solve for x
   x = 1,779,532,040.25/17,838
6. Step 6: Final answer
   x = 99,760.74