Finding the Third Proportional to 35,937 and 75,598.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,937 : 75,598.50 = 75,598.50 : x
2. Step 2: Convert to fraction form
   35,937/75,598.50 = 75,598.50/x
3. Step 3: Cross multiply
   35,937x = 75,598.50 × 75,598.50
4. Step 4: Simplify right side
   35,937x = 5,715,133,202.25
5. Step 5: Solve for x
   x = 5,715,133,202.25/35,937
6. Step 6: Final answer
   x = 159,032.01