Finding the Third Proportional to 65,677.50 and 101,891.25

Step by Step Solution

1. Step 1: Write the proportion equation
   65,677.50 : 101,891.25 = 101,891.25 : x
2. Step 2: Convert to fraction form
   65,677.50/101,891.25 = 101,891.25/x
3. Step 3: Cross multiply
   65,677.50x = 101,891.25 × 101,891.25
4. Step 4: Simplify right side
   65,677.50x = 10,381,826,826.56
5. Step 5: Solve for x
   x = 10,381,826,826.56/65,677.50
6. Step 6: Final answer
   x = 158,072.81