Finding the Third Proportional to 53,282.81 and 76,977.84

Step by Step Solution

1. Step 1: Write the proportion equation
   53,282.81 : 76,977.84 = 76,977.84 : x
2. Step 2: Convert to fraction form
   53,282.81/76,977.84 = 76,977.84/x
3. Step 3: Cross multiply
   53,282.81x = 76,977.84 × 76,977.84
4. Step 4: Simplify right side
   53,282.81x = 5,925,588,428.40
5. Step 5: Solve for x
   x = 5,925,588,428.40/53,282.81
6. Step 6: Final answer
   x = 111,210.13