Finding the Third Proportional to 35,334 and 74,758.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,334 : 74,758.50 = 74,758.50 : x
2. Step 2: Convert to fraction form
   35,334/74,758.50 = 74,758.50/x
3. Step 3: Cross multiply
   35,334x = 74,758.50 × 74,758.50
4. Step 4: Simplify right side
   35,334x = 5,588,833,322.25
5. Step 5: Solve for x
   x = 5,588,833,322.25/35,334
6. Step 6: Final answer
   x = 158,171.54