Finding the Third Proportional to 27,253 and 42,213.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,253 : 42,213.50 = 42,213.50 : x
2. Step 2: Convert to fraction form
   27,253/42,213.50 = 42,213.50/x
3. Step 3: Cross multiply
   27,253x = 42,213.50 × 42,213.50
4. Step 4: Simplify right side
   27,253x = 1,781,979,582.25
5. Step 5: Solve for x
   x = 1,781,979,582.25/27,253
6. Step 6: Final answer
   x = 65,386.55