Finding the Third Proportional to 53,505 and 82,962.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,505 : 82,962.50 = 82,962.50 : x
2. Step 2: Convert to fraction form
   53,505/82,962.50 = 82,962.50/x
3. Step 3: Cross multiply
   53,505x = 82,962.50 × 82,962.50
4. Step 4: Simplify right side
   53,505x = 6,882,776,406.25
5. Step 5: Solve for x
   x = 6,882,776,406.25/53,505
6. Step 6: Final answer
   x = 128,638.00