Finding the Third Proportional to 35,748 and 54,390.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,748 : 54,390.50 = 54,390.50 : x
2. Step 2: Convert to fraction form
   35,748/54,390.50 = 54,390.50/x
3. Step 3: Cross multiply
   35,748x = 54,390.50 × 54,390.50
4. Step 4: Simplify right side
   35,748x = 2,958,326,490.25
5. Step 5: Solve for x
   x = 2,958,326,490.25/35,748
6. Step 6: Final answer
   x = 82,755.02