Finding the Third Proportional to 42,627 and 61,996.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,627 : 61,996.50 = 61,996.50 : x
2. Step 2: Convert to fraction form
   42,627/61,996.50 = 61,996.50/x
3. Step 3: Cross multiply
   42,627x = 61,996.50 × 61,996.50
4. Step 4: Simplify right side
   42,627x = 3,843,566,012.25
5. Step 5: Solve for x
   x = 3,843,566,012.25/42,627
6. Step 6: Final answer
   x = 90,167.41