Finding the Third Proportional to 53,492.63 and 82,783.69

Step by Step Solution

1. Step 1: Write the proportion equation
   53,492.63 : 82,783.69 = 82,783.69 : x
2. Step 2: Convert to fraction form
   53,492.63/82,783.69 = 82,783.69/x
3. Step 3: Cross multiply
   53,492.63x = 82,783.69 × 82,783.69
4. Step 4: Simplify right side
   53,492.63x = 6,853,138,916.10
5. Step 5: Solve for x
   x = 6,853,138,916.10/53,492.63
6. Step 6: Final answer
   x = 128,113.72