Finding the Third Proportional to 33,096 and 64,531.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,096 : 64,531.50 = 64,531.50 : x
2. Step 2: Convert to fraction form
   33,096/64,531.50 = 64,531.50/x
3. Step 3: Cross multiply
   33,096x = 64,531.50 × 64,531.50
4. Step 4: Simplify right side
   33,096x = 4,164,314,492.25
5. Step 5: Solve for x
   x = 4,164,314,492.25/33,096
6. Step 6: Final answer
   x = 125,825.31