Finding the Third Proportional to 35,645 and 77,361

Step by Step Solution

1. Step 1: Write the proportion equation
   35,645 : 77,361 = 77,361 : x
2. Step 2: Convert to fraction form
   35,645/77,361 = 77,361/x
3. Step 3: Cross multiply
   35,645x = 77,361 × 77,361
4. Step 4: Simplify right side
   35,645x = 5,984,724,321
5. Step 5: Solve for x
   x = 5,984,724,321/35,645
6. Step 6: Final answer
   x = 167,898.00