Finding the Third Proportional to 33,140 and 64,600

Step by Step Solution

1. Step 1: Write the proportion equation
   33,140 : 64,600 = 64,600 : x
2. Step 2: Convert to fraction form
   33,140/64,600 = 64,600/x
3. Step 3: Cross multiply
   33,140x = 64,600 × 64,600
4. Step 4: Simplify right side
   33,140x = 4,173,160,000
5. Step 5: Solve for x
   x = 4,173,160,000/33,140
6. Step 6: Final answer
   x = 125,925.17