Finding the Third Proportional to 35,937 and 76,801.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,937 : 76,801.50 = 76,801.50 : x
2. Step 2: Convert to fraction form
   35,937/76,801.50 = 76,801.50/x
3. Step 3: Cross multiply
   35,937x = 76,801.50 × 76,801.50
4. Step 4: Simplify right side
   35,937x = 5,898,470,402.25
5. Step 5: Solve for x
   x = 5,898,470,402.25/35,937
6. Step 6: Final answer
   x = 164,133.63