Finding the Third Proportional to 17,798 and 37,784

Step by Step Solution

1. Step 1: Write the proportion equation
   17,798 : 37,784 = 37,784 : x
2. Step 2: Convert to fraction form
   17,798/37,784 = 37,784/x
3. Step 3: Cross multiply
   17,798x = 37,784 × 37,784
4. Step 4: Simplify right side
   17,798x = 1,427,630,656
5. Step 5: Solve for x
   x = 1,427,630,656/17,798
6. Step 6: Final answer
   x = 80,212.98