Finding the Third Proportional to 35,184 and 74,011.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,184 : 74,011.50 = 74,011.50 : x
2. Step 2: Convert to fraction form
   35,184/74,011.50 = 74,011.50/x
3. Step 3: Cross multiply
   35,184x = 74,011.50 × 74,011.50
4. Step 4: Simplify right side
   35,184x = 5,477,702,132.25
5. Step 5: Solve for x
   x = 5,477,702,132.25/35,184
6. Step 6: Final answer
   x = 155,687.30