Finding the Third Proportional to 33,730 and 72,562.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,730 : 72,562.50 = 72,562.50 : x
2. Step 2: Convert to fraction form
   33,730/72,562.50 = 72,562.50/x
3. Step 3: Cross multiply
   33,730x = 72,562.50 × 72,562.50
4. Step 4: Simplify right side
   33,730x = 5,265,316,406.25
5. Step 5: Solve for x
   x = 5,265,316,406.25/33,730
6. Step 6: Final answer
   x = 156,101.88