Finding the Third Proportional to 53,409 and 83,029.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,409 : 83,029.50 = 83,029.50 : x
2. Step 2: Convert to fraction form
   53,409/83,029.50 = 83,029.50/x
3. Step 3: Cross multiply
   53,409x = 83,029.50 × 83,029.50
4. Step 4: Simplify right side
   53,409x = 6,893,897,870.25
5. Step 5: Solve for x
   x = 6,893,897,870.25/53,409
6. Step 6: Final answer
   x = 129,077.46