Finding the Third Proportional to 35,938 and 76,803.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,938 : 76,803.50 = 76,803.50 : x
2. Step 2: Convert to fraction form
   35,938/76,803.50 = 76,803.50/x
3. Step 3: Cross multiply
   35,938x = 76,803.50 × 76,803.50
4. Step 4: Simplify right side
   35,938x = 5,898,777,612.25
5. Step 5: Solve for x
   x = 5,898,777,612.25/35,938
6. Step 6: Final answer
   x = 164,137.62