Finding the Third Proportional to 39,138.19 and 81,784.69

Step by Step Solution

1. Step 1: Write the proportion equation
   39,138.19 : 81,784.69 = 81,784.69 : x
2. Step 2: Convert to fraction form
   39,138.19/81,784.69 = 81,784.69/x
3. Step 3: Cross multiply
   39,138.19x = 81,784.69 × 81,784.69
4. Step 4: Simplify right side
   39,138.19x = 6,688,735,109.47
5. Step 5: Solve for x
   x = 6,688,735,109.47/39,138.19
6. Step 6: Final answer
   x = 170,900.48