Finding the Third Proportional to 51,813 and 65,725.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,813 : 65,725.50 = 65,725.50 : x
2. Step 2: Convert to fraction form
   51,813/65,725.50 = 65,725.50/x
3. Step 3: Cross multiply
   51,813x = 65,725.50 × 65,725.50
4. Step 4: Simplify right side
   51,813x = 4,319,841,350.25
5. Step 5: Solve for x
   x = 4,319,841,350.25/51,813
6. Step 6: Final answer
   x = 83,373.70