Finding the Third Proportional to 33,264 and 52,663.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,264 : 52,663.50 = 52,663.50 : x
2. Step 2: Convert to fraction form
   33,264/52,663.50 = 52,663.50/x
3. Step 3: Cross multiply
   33,264x = 52,663.50 × 52,663.50
4. Step 4: Simplify right side
   33,264x = 2,773,444,232.25
5. Step 5: Solve for x
   x = 2,773,444,232.25/33,264
6. Step 6: Final answer
   x = 83,376.75