Finding the Third Proportional to 27,261 and 42,097.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,261 : 42,097.50 = 42,097.50 : x
2. Step 2: Convert to fraction form
   27,261/42,097.50 = 42,097.50/x
3. Step 3: Cross multiply
   27,261x = 42,097.50 × 42,097.50
4. Step 4: Simplify right side
   27,261x = 1,772,199,506.25
5. Step 5: Solve for x
   x = 1,772,199,506.25/27,261
6. Step 6: Final answer
   x = 65,008.60