Finding the Third Proportional to 53,217 and 82,741.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,217 : 82,741.50 = 82,741.50 : x
2. Step 2: Convert to fraction form
   53,217/82,741.50 = 82,741.50/x
3. Step 3: Cross multiply
   53,217x = 82,741.50 × 82,741.50
4. Step 4: Simplify right side
   53,217x = 6,846,155,822.25
5. Step 5: Solve for x
   x = 6,846,155,822.25/53,217
6. Step 6: Final answer
   x = 128,646.03