Finding the Third Proportional to 51,421.71 and 82,114.07

Step by Step Solution

1. Step 1: Write the proportion equation
   51,421.71 : 82,114.07 = 82,114.07 : x
2. Step 2: Convert to fraction form
   51,421.71/82,114.07 = 82,114.07/x
3. Step 3: Cross multiply
   51,421.71x = 82,114.07 × 82,114.07
4. Step 4: Simplify right side
   51,421.71x = 6,742,719,901.77
5. Step 5: Solve for x
   x = 6,742,719,901.77/51,421.71
6. Step 6: Final answer
   x = 131,125.93