Finding the Third Proportional to 53,402.63 and 83,019.94

Step by Step Solution

1. Step 1: Write the proportion equation
   53,402.63 : 83,019.94 = 83,019.94 : x
2. Step 2: Convert to fraction form
   53,402.63/83,019.94 = 83,019.94/x
3. Step 3: Cross multiply
   53,402.63x = 83,019.94 × 83,019.94
4. Step 4: Simplify right side
   53,402.63x = 6,892,310,022.50
5. Step 5: Solve for x
   x = 6,892,310,022.50/53,402.63
6. Step 6: Final answer
   x = 129,063.13