Finding the Third Proportional to 42,547.50 and 91,413

Step by Step Solution

1. Step 1: Write the proportion equation
   42,547.50 : 91,413 = 91,413 : x
2. Step 2: Convert to fraction form
   42,547.50/91,413 = 91,413/x
3. Step 3: Cross multiply
   42,547.50x = 91,413 × 91,413
4. Step 4: Simplify right side
   42,547.50x = 8,356,336,569
5. Step 5: Solve for x
   x = 8,356,336,569/42,547.50
6. Step 6: Final answer
   x = 196,400.18