Finding the Third Proportional to 42,624 and 93,516

Step by Step Solution

1. Step 1: Write the proportion equation
   42,624 : 93,516 = 93,516 : x
2. Step 2: Convert to fraction form
   42,624/93,516 = 93,516/x
3. Step 3: Cross multiply
   42,624x = 93,516 × 93,516
4. Step 4: Simplify right side
   42,624x = 8,745,242,256
5. Step 5: Solve for x
   x = 8,745,242,256/42,624
6. Step 6: Final answer
   x = 205,171.79