Finding the Third Proportional to 35,124 and 76,816.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,124 : 76,816.50 = 76,816.50 : x
2. Step 2: Convert to fraction form
   35,124/76,816.50 = 76,816.50/x
3. Step 3: Cross multiply
   35,124x = 76,816.50 × 76,816.50
4. Step 4: Simplify right side
   35,124x = 5,900,774,672.25
5. Step 5: Solve for x
   x = 5,900,774,672.25/35,124
6. Step 6: Final answer
   x = 167,998.37