Finding the Third Proportional to 17,538 and 37,990.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,538 : 37,990.50 = 37,990.50 : x
2. Step 2: Convert to fraction form
   17,538/37,990.50 = 37,990.50/x
3. Step 3: Cross multiply
   17,538x = 37,990.50 × 37,990.50
4. Step 4: Simplify right side
   17,538x = 1,443,278,090.25
5. Step 5: Solve for x
   x = 1,443,278,090.25/17,538
6. Step 6: Final answer
   x = 82,294.34