Finding the Third Proportional to 17,575 and 37,838

Step by Step Solution

1. Step 1: Write the proportion equation
   17,575 : 37,838 = 37,838 : x
2. Step 2: Convert to fraction form
   17,575/37,838 = 37,838/x
3. Step 3: Cross multiply
   17,575x = 37,838 × 37,838
4. Step 4: Simplify right side
   17,575x = 1,431,714,244
5. Step 5: Solve for x
   x = 1,431,714,244/17,575
6. Step 6: Final answer
   x = 81,463.11