Finding the Third Proportional to 17,688 and 37,080

Step by Step Solution

1. Step 1: Write the proportion equation
   17,688 : 37,080 = 37,080 : x
2. Step 2: Convert to fraction form
   17,688/37,080 = 37,080/x
3. Step 3: Cross multiply
   17,688x = 37,080 × 37,080
4. Step 4: Simplify right side
   17,688x = 1,374,926,400
5. Step 5: Solve for x
   x = 1,374,926,400/17,688
6. Step 6: Final answer
   x = 77,732.16