Finding the Third Proportional to 53,763 and 83,416.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,763 : 83,416.50 = 83,416.50 : x
2. Step 2: Convert to fraction form
   53,763/83,416.50 = 83,416.50/x
3. Step 3: Cross multiply
   53,763x = 83,416.50 × 83,416.50
4. Step 4: Simplify right side
   53,763x = 6,958,312,472.25
5. Step 5: Solve for x
   x = 6,958,312,472.25/53,763
6. Step 6: Final answer
   x = 129,425.67