Finding the Third Proportional to 51,989 and 83,725.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,989 : 83,725.50 = 83,725.50 : x
2. Step 2: Convert to fraction form
   51,989/83,725.50 = 83,725.50/x
3. Step 3: Cross multiply
   51,989x = 83,725.50 × 83,725.50
4. Step 4: Simplify right side
   51,989x = 7,009,959,350.25
5. Step 5: Solve for x
   x = 7,009,959,350.25/51,989
6. Step 6: Final answer
   x = 134,835.43