Finding the Third Proportional to 65,272.50 and 97,665.75

Step by Step Solution

1. Step 1: Write the proportion equation
   65,272.50 : 97,665.75 = 97,665.75 : x
2. Step 2: Convert to fraction form
   65,272.50/97,665.75 = 97,665.75/x
3. Step 3: Cross multiply
   65,272.50x = 97,665.75 × 97,665.75
4. Step 4: Simplify right side
   65,272.50x = 9,538,598,723.06
5. Step 5: Solve for x
   x = 9,538,598,723.06/65,272.50
6. Step 6: Final answer
   x = 146,135.03