Finding the Third Proportional to 64,177.50 and 96,266.25

Step by Step Solution

1. Step 1: Write the proportion equation
   64,177.50 : 96,266.25 = 96,266.25 : x
2. Step 2: Convert to fraction form
   64,177.50/96,266.25 = 96,266.25/x
3. Step 3: Cross multiply
   64,177.50x = 96,266.25 × 96,266.25
4. Step 4: Simplify right side
   64,177.50x = 9,267,190,889.06
5. Step 5: Solve for x
   x = 9,267,190,889.06/64,177.50
6. Step 6: Final answer
   x = 144,399.38