Finding the Third Proportional to 32,358 and 68,572.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,358 : 68,572.50 = 68,572.50 : x
2. Step 2: Convert to fraction form
   32,358/68,572.50 = 68,572.50/x
3. Step 3: Cross multiply
   32,358x = 68,572.50 × 68,572.50
4. Step 4: Simplify right side
   32,358x = 4,702,187,756.25
5. Step 5: Solve for x
   x = 4,702,187,756.25/32,358
6. Step 6: Final answer
   x = 145,317.63