Finding the Third Proportional to 35,642 and 78,052

Step by Step Solution

1. Step 1: Write the proportion equation
   35,642 : 78,052 = 78,052 : x
2. Step 2: Convert to fraction form
   35,642/78,052 = 78,052/x
3. Step 3: Cross multiply
   35,642x = 78,052 × 78,052
4. Step 4: Simplify right side
   35,642x = 6,092,114,704
5. Step 5: Solve for x
   x = 6,092,114,704/35,642
6. Step 6: Final answer
   x = 170,925.16