Finding the Third Proportional to 35,426 and 54,277.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,426 : 54,277.50 = 54,277.50 : x
2. Step 2: Convert to fraction form
   35,426/54,277.50 = 54,277.50/x
3. Step 3: Cross multiply
   35,426x = 54,277.50 × 54,277.50
4. Step 4: Simplify right side
   35,426x = 2,946,047,006.25
5. Step 5: Solve for x
   x = 2,946,047,006.25/35,426
6. Step 6: Final answer
   x = 83,160.59