Finding the Third Proportional to 47,523 and 74,746.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,523 : 74,746.50 = 74,746.50 : x
2. Step 2: Convert to fraction form
   47,523/74,746.50 = 74,746.50/x
3. Step 3: Cross multiply
   47,523x = 74,746.50 × 74,746.50
4. Step 4: Simplify right side
   47,523x = 5,587,039,262.25
5. Step 5: Solve for x
   x = 5,587,039,262.25/47,523
6. Step 6: Final answer
   x = 117,564.95