Finding the Third Proportional to 35,617 and 76,174

Step by Step Solution

1. Step 1: Write the proportion equation
   35,617 : 76,174 = 76,174 : x
2. Step 2: Convert to fraction form
   35,617/76,174 = 76,174/x
3. Step 3: Cross multiply
   35,617x = 76,174 × 76,174
4. Step 4: Simplify right side
   35,617x = 5,802,478,276
5. Step 5: Solve for x
   x = 5,802,478,276/35,617
6. Step 6: Final answer
   x = 162,913.17