Finding the Third Proportional to 38,641.13 and 81,433.69

Step by Step Solution

1. Step 1: Write the proportion equation
   38,641.13 : 81,433.69 = 81,433.69 : x
2. Step 2: Convert to fraction form
   38,641.13/81,433.69 = 81,433.69/x
3. Step 3: Cross multiply
   38,641.13x = 81,433.69 × 81,433.69
4. Step 4: Simplify right side
   38,641.13x = 6,631,445,459.85
5. Step 5: Solve for x
   x = 6,631,445,459.85/38,641.13
6. Step 6: Final answer
   x = 171,616.26