Finding the Third Proportional to 17,748 and 37,134

Step by Step Solution

1. Step 1: Write the proportion equation
   17,748 : 37,134 = 37,134 : x
2. Step 2: Convert to fraction form
   17,748/37,134 = 37,134/x
3. Step 3: Cross multiply
   17,748x = 37,134 × 37,134
4. Step 4: Simplify right side
   17,748x = 1,378,933,956
5. Step 5: Solve for x
   x = 1,378,933,956/17,748
6. Step 6: Final answer
   x = 77,695.17