Finding the Third Proportional to 53,218.13 and 81,824.63

Step by Step Solution

1. Step 1: Write the proportion equation
   53,218.13 : 81,824.63 = 81,824.63 : x
2. Step 2: Convert to fraction form
   53,218.13/81,824.63 = 81,824.63/x
3. Step 3: Cross multiply
   53,218.13x = 81,824.63 × 81,824.63
4. Step 4: Simplify right side
   53,218.13x = 6,695,269,256.39
5. Step 5: Solve for x
   x = 6,695,269,256.39/53,218.13
6. Step 6: Final answer
   x = 125,808.06