Finding the Third Proportional to 37,712 and 74,472.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,712 : 74,472.50 = 74,472.50 : x
2. Step 2: Convert to fraction form
   37,712/74,472.50 = 74,472.50/x
3. Step 3: Cross multiply
   37,712x = 74,472.50 × 74,472.50
4. Step 4: Simplify right side
   37,712x = 5,546,153,256.25
5. Step 5: Solve for x
   x = 5,546,153,256.25/37,712
6. Step 6: Final answer
   x = 147,066.01