Finding the Third Proportional to 38,940 and 86,641.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,940 : 86,641.50 = 86,641.50 : x
2. Step 2: Convert to fraction form
   38,940/86,641.50 = 86,641.50/x
3. Step 3: Cross multiply
   38,940x = 86,641.50 × 86,641.50
4. Step 4: Simplify right side
   38,940x = 7,506,749,522.25
5. Step 5: Solve for x
   x = 7,506,749,522.25/38,940
6. Step 6: Final answer
   x = 192,777.34