Finding the Third Proportional to 35,984 and 78,752

Step by Step Solution

1. Step 1: Write the proportion equation
   35,984 : 78,752 = 78,752 : x
2. Step 2: Convert to fraction form
   35,984/78,752 = 78,752/x
3. Step 3: Cross multiply
   35,984x = 78,752 × 78,752
4. Step 4: Simplify right side
   35,984x = 6,201,877,504
5. Step 5: Solve for x
   x = 6,201,877,504/35,984
6. Step 6: Final answer
   x = 172,350.98