Finding the Third Proportional to 35,054 and 76,451.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,054 : 76,451.50 = 76,451.50 : x
2. Step 2: Convert to fraction form
   35,054/76,451.50 = 76,451.50/x
3. Step 3: Cross multiply
   35,054x = 76,451.50 × 76,451.50
4. Step 4: Simplify right side
   35,054x = 5,844,831,852.25
5. Step 5: Solve for x
   x = 5,844,831,852.25/35,054
6. Step 6: Final answer
   x = 166,737.94