Finding the Third Proportional to 52,933.50 and 82,051.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,933.50 : 82,051.50 = 82,051.50 : x
2. Step 2: Convert to fraction form
   52,933.50/82,051.50 = 82,051.50/x
3. Step 3: Cross multiply
   52,933.50x = 82,051.50 × 82,051.50
4. Step 4: Simplify right side
   52,933.50x = 6,732,448,652.25
5. Step 5: Solve for x
   x = 6,732,448,652.25/52,933.50
6. Step 6: Final answer
   x = 127,186.92