Finding the Third Proportional to 37,656 and 58,342.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,656 : 58,342.50 = 58,342.50 : x
2. Step 2: Convert to fraction form
   37,656/58,342.50 = 58,342.50/x
3. Step 3: Cross multiply
   37,656x = 58,342.50 × 58,342.50
4. Step 4: Simplify right side
   37,656x = 3,403,847,306.25
5. Step 5: Solve for x
   x = 3,403,847,306.25/37,656
6. Step 6: Final answer
   x = 90,393.23