Finding the Third Proportional to 35,370 and 74,668.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,370 : 74,668.50 = 74,668.50 : x
2. Step 2: Convert to fraction form
   35,370/74,668.50 = 74,668.50/x
3. Step 3: Cross multiply
   35,370x = 74,668.50 × 74,668.50
4. Step 4: Simplify right side
   35,370x = 5,575,384,892.25
5. Step 5: Solve for x
   x = 5,575,384,892.25/35,370
6. Step 6: Final answer
   x = 157,630.33