Finding the Third Proportional to 65,002.50 and 97,078.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,002.50 : 97,078.50 = 97,078.50 : x
2. Step 2: Convert to fraction form
   65,002.50/97,078.50 = 97,078.50/x
3. Step 3: Cross multiply
   65,002.50x = 97,078.50 × 97,078.50
4. Step 4: Simplify right side
   65,002.50x = 9,424,235,162.25
5. Step 5: Solve for x
   x = 9,424,235,162.25/65,002.50
6. Step 6: Final answer
   x = 144,982.66