Finding the Third Proportional to 33,735 and 52,123.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,735 : 52,123.50 = 52,123.50 : x
2. Step 2: Convert to fraction form
   33,735/52,123.50 = 52,123.50/x
3. Step 3: Cross multiply
   33,735x = 52,123.50 × 52,123.50
4. Step 4: Simplify right side
   33,735x = 2,716,859,252.25
5. Step 5: Solve for x
   x = 2,716,859,252.25/33,735
6. Step 6: Final answer
   x = 80,535.33