Finding the Third Proportional to 65,349 and 96,109.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,349 : 96,109.50 = 96,109.50 : x
2. Step 2: Convert to fraction form
   65,349/96,109.50 = 96,109.50/x
3. Step 3: Cross multiply
   65,349x = 96,109.50 × 96,109.50
4. Step 4: Simplify right side
   65,349x = 9,237,035,990.25
5. Step 5: Solve for x
   x = 9,237,035,990.25/65,349
6. Step 6: Final answer
   x = 141,349.31