Finding the Third Proportional to 53,530.50 and 83,361.38

Step by Step Solution

1. Step 1: Write the proportion equation
   53,530.50 : 83,361.38 = 83,361.38 : x
2. Step 2: Convert to fraction form
   53,530.50/83,361.38 = 83,361.38/x
3. Step 3: Cross multiply
   53,530.50x = 83,361.38 × 83,361.38
4. Step 4: Simplify right side
   53,530.50x = 6,949,118,841.89
5. Step 5: Solve for x
   x = 6,949,118,841.89/53,530.50
6. Step 6: Final answer
   x = 129,816.06