Finding the Third Proportional to 53,232.19 and 82,411.17

Step by Step Solution

1. Step 1: Write the proportion equation
   53,232.19 : 82,411.17 = 82,411.17 : x
2. Step 2: Convert to fraction form
   53,232.19/82,411.17 = 82,411.17/x
3. Step 3: Cross multiply
   53,232.19x = 82,411.17 × 82,411.17
4. Step 4: Simplify right side
   53,232.19x = 6,791,601,249.81
5. Step 5: Solve for x
   x = 6,791,601,249.81/53,232.19
6. Step 6: Final answer
   x = 127,584.49