Finding the Third Proportional to 38,970 and 94,225.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,970 : 94,225.50 = 94,225.50 : x
2. Step 2: Convert to fraction form
   38,970/94,225.50 = 94,225.50/x
3. Step 3: Cross multiply
   38,970x = 94,225.50 × 94,225.50
4. Step 4: Simplify right side
   38,970x = 8,878,444,850.25
5. Step 5: Solve for x
   x = 8,878,444,850.25/38,970
6. Step 6: Final answer
   x = 227,827.68