Finding the Third Proportional to 35,100 and 76,153.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,100 : 76,153.50 = 76,153.50 : x
2. Step 2: Convert to fraction form
   35,100/76,153.50 = 76,153.50/x
3. Step 3: Cross multiply
   35,100x = 76,153.50 × 76,153.50
4. Step 4: Simplify right side
   35,100x = 5,799,355,562.25
5. Step 5: Solve for x
   x = 5,799,355,562.25/35,100
6. Step 6: Final answer
   x = 165,223.81