Finding the Third Proportional to 35,374 and 77,066

Step by Step Solution

1. Step 1: Write the proportion equation
   35,374 : 77,066 = 77,066 : x
2. Step 2: Convert to fraction form
   35,374/77,066 = 77,066/x
3. Step 3: Cross multiply
   35,374x = 77,066 × 77,066
4. Step 4: Simplify right side
   35,374x = 5,939,168,356
5. Step 5: Solve for x
   x = 5,939,168,356/35,374
6. Step 6: Final answer
   x = 167,896.43