Finding the Third Proportional to 38,642 and 81,434.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,642 : 81,434.50 = 81,434.50 : x
2. Step 2: Convert to fraction form
   38,642/81,434.50 = 81,434.50/x
3. Step 3: Cross multiply
   38,642x = 81,434.50 × 81,434.50
4. Step 4: Simplify right side
   38,642x = 6,631,577,790.25
5. Step 5: Solve for x
   x = 6,631,577,790.25/38,642
6. Step 6: Final answer
   x = 171,615.80