Finding the Third Proportional to 38,345 and 89,634.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,345 : 89,634.50 = 89,634.50 : x
2. Step 2: Convert to fraction form
   38,345/89,634.50 = 89,634.50/x
3. Step 3: Cross multiply
   38,345x = 89,634.50 × 89,634.50
4. Step 4: Simplify right side
   38,345x = 8,034,343,590.25
5. Step 5: Solve for x
   x = 8,034,343,590.25/38,345
6. Step 6: Final answer
   x = 209,527.80