Finding the Third Proportional to 35,406 and 48,109.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,406 : 48,109.50 = 48,109.50 : x
2. Step 2: Convert to fraction form
   35,406/48,109.50 = 48,109.50/x
3. Step 3: Cross multiply
   35,406x = 48,109.50 × 48,109.50
4. Step 4: Simplify right side
   35,406x = 2,314,523,990.25
5. Step 5: Solve for x
   x = 2,314,523,990.25/35,406
6. Step 6: Final answer
   x = 65,370.95