Finding the Third Proportional to 33,250.50 and 65,407.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,250.50 : 65,407.50 = 65,407.50 : x
2. Step 2: Convert to fraction form
   33,250.50/65,407.50 = 65,407.50/x
3. Step 3: Cross multiply
   33,250.50x = 65,407.50 × 65,407.50
4. Step 4: Simplify right side
   33,250.50x = 4,278,141,056.25
5. Step 5: Solve for x
   x = 4,278,141,056.25/33,250.50
6. Step 6: Final answer
   x = 128,663.96