Finding the Third Proportional to 37,142 and 77,346

Step by Step Solution

1. Step 1: Write the proportion equation
   37,142 : 77,346 = 77,346 : x
2. Step 2: Convert to fraction form
   37,142/77,346 = 77,346/x
3. Step 3: Cross multiply
   37,142x = 77,346 × 77,346
4. Step 4: Simplify right side
   37,142x = 5,982,403,716
5. Step 5: Solve for x
   x = 5,982,403,716/37,142
6. Step 6: Final answer
   x = 161,068.43