Finding the Third Proportional to 35,619 and 76,948.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,619 : 76,948.50 = 76,948.50 : x
2. Step 2: Convert to fraction form
   35,619/76,948.50 = 76,948.50/x
3. Step 3: Cross multiply
   35,619x = 76,948.50 × 76,948.50
4. Step 4: Simplify right side
   35,619x = 5,921,071,652.25
5. Step 5: Solve for x
   x = 5,921,071,652.25/35,619
6. Step 6: Final answer
   x = 166,233.52