Finding the Third Proportional to 38,633.63 and 81,487.69

Step by Step Solution

1. Step 1: Write the proportion equation
   38,633.63 : 81,487.69 = 81,487.69 : x
2. Step 2: Convert to fraction form
   38,633.63/81,487.69 = 81,487.69/x
3. Step 3: Cross multiply
   38,633.63x = 81,487.69 × 81,487.69
4. Step 4: Simplify right side
   38,633.63x = 6,640,243,214.10
5. Step 5: Solve for x
   x = 6,640,243,214.10/38,633.63
6. Step 6: Final answer
   x = 171,877.30