Finding the Third Proportional to 38,873.75 and 81,898.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,873.75 : 81,898.50 = 81,898.50 : x
2. Step 2: Convert to fraction form
   38,873.75/81,898.50 = 81,898.50/x
3. Step 3: Cross multiply
   38,873.75x = 81,898.50 × 81,898.50
4. Step 4: Simplify right side
   38,873.75x = 6,707,364,302.25
5. Step 5: Solve for x
   x = 6,707,364,302.25/38,873.75
6. Step 6: Final answer
   x = 172,542.25