Finding the Third Proportional to 64,380 and 96,196.50

Step by Step Solution

1. Step 1: Write the proportion equation
   64,380 : 96,196.50 = 96,196.50 : x
2. Step 2: Convert to fraction form
   64,380/96,196.50 = 96,196.50/x
3. Step 3: Cross multiply
   64,380x = 96,196.50 × 96,196.50
4. Step 4: Simplify right side
   64,380x = 9,253,766,612.25
5. Step 5: Solve for x
   x = 9,253,766,612.25/64,380
6. Step 6: Final answer
   x = 143,736.67