Finding the Third Proportional to 65,803.50 and 102,076.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,803.50 : 102,076.50 = 102,076.50 : x
2. Step 2: Convert to fraction form
   65,803.50/102,076.50 = 102,076.50/x
3. Step 3: Cross multiply
   65,803.50x = 102,076.50 × 102,076.50
4. Step 4: Simplify right side
   65,803.50x = 10,419,611,852.25
5. Step 5: Solve for x
   x = 10,419,611,852.25/65,803.50
6. Step 6: Final answer
   x = 158,344.34