Finding the Third Proportional to 53,418 and 83,041.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,418 : 83,041.50 = 83,041.50 : x
2. Step 2: Convert to fraction form
   53,418/83,041.50 = 83,041.50/x
3. Step 3: Cross multiply
   53,418x = 83,041.50 × 83,041.50
4. Step 4: Simplify right side
   53,418x = 6,895,890,722.25
5. Step 5: Solve for x
   x = 6,895,890,722.25/53,418
6. Step 6: Final answer
   x = 129,093.02